Neural Networks from scratch¶

https://www.freecodecamp.org/news/building-a-neural-network-from-scratch/

In [3]:
import numpy as np
import matplotlib.pyplot as plt
In [17]:
def print_green(input):
    print("\033[92m {}\033[00m" .format(input))
In [7]:
def init_params(layer_dims):
    np.random.seed(3)
    params = {}
    L = len(layer_dims)

    for l in range(1, L):
        params['W'+str(l)] = np.random.randn(layer_dims[l], layer_dims[l-1])*0.01
        params['b'+str(l)] = np.zeros((layer_dims[l], 1)) # Bias initilized as Zero

    return params
In [5]:
params = init_params([1,1])
params
Out[5]:
{'W1': array([[0.01788628]]), 'b1': array([[0.]])}

( W ) (Weight Matrix):¶

This is a matrix of weights. Each element in this matrix represents the strength of the connection between the input features and the neurons in the layer.

Dimensions: If you have ( n ) input features and ( m ) neurons in the layer, ( W ) will be an ( m \times n ) matrix.

( X ) (Input Vector/Matrix):¶

This is the input data. It can be a vector (for a single data point) or a matrix (for multiple data points). Dimensions: If you have ( n ) input features, ( X ) will be an ( n \times 1 ) vector for a single data point or an ( n \times k ) matrix for ( k ) data points.

( b ) (Bias Vector):¶

This is a vector of biases. Each element in this vector is added to the corresponding neuron's weighted sum to shift the activation function. Dimensions: If you have ( m ) neurons, ( b ) will be an ( m \times 1 ) vector.

Example¶

Consider a simple example with a single data point:

  • Input Vector ( X ): [ \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} ]

  • Weight Matrix ( W ): [ \begin{bmatrix} w_{11} & w_{12} \\ w_{21} & w_{22} \end{bmatrix} ]

  • Bias Vector ( b ): [ \begin{bmatrix} b_1 \\ b_2 \end{bmatrix} ]

The computation would be:

[ Z = W dot X + b = \begin{bmatrix} w_{11} & w_{12} \\ w_{21} & w_{22} \end{bmatrix} dot \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} b_1 \\ b_2 \end{bmatrix} ]

Breaking it down:

[ Z = \begin{bmatrix} (w_{11} \cdot x_1 + w_{12} \cdot x_2) \\ (w_{21} \cdot x_1 + w_{22} \cdot x_2) \end{bmatrix} + \begin{bmatrix} b_1 \\ b_2 \end{bmatrix} ]

Linear Transformation The equation Z = W * X + b represents a linear transformation of the input X using the weight matrix W and the bias vector b. This is a common step in neural networks before applying an activation function.

[ Z = \begin{bmatrix} (w_{11} \cdot x_1 + w_{12} \cdot x_2 + b_1) \\ (w_{21} \cdot x_1 + w_{22} \cdot x_2 + b_2) \end{bmatrix} ]

Sigmoid Function The expression 1/(1+np.exp(np.dot(-1, Z))) is the sigmoid activation function applied to Z. The sigmoid function is defined as:

\begin{equation} \sigma(Z) = \frac{1}{1 + e^{-Z}} \end{equation}

Purpose of the Linear Hypothesis¶

  1. Combining Inputs: The linear hypothesis combines the input features ( X ) with the weights ( W ) and biases ( b ). This combination allows the model to learn the relationships between the input features and the target output.

  2. Parameter Learning: During training, the weights ( W ) and biases ( b ) are adjusted to minimize the error between the predicted output and the actual target. The linear hypothesis is the first step in this process, providing a way to compute the initial prediction.

  3. Introducing Non-Linearity: While the linear hypothesis itself is a linear function, it is often followed by a non-linear activation function (such as the sigmoid function). This combination allows the model to learn complex, non-linear relationships in the data.

In [69]:
# Z (linear hypothesis) - Z = W*X + b , 
# * - dot product,
# W - weight matrix, b- bias vector, X- Input 
# This is a linear function called Sigmoid ativation function.
# It is used to introduce non-linearity in the model.
# Z can be a scalar a vector or a matrix.

# In this case Z = -1 dot Z + b
def sigmoid(Z):
    A = 1/(1+np.exp(np.dot(-1, Z))) # The dot product multiple the matrix with -1.
    cache = (Z)

    return A, cache

def sigmoid_new(Z):
    A = 1 / (1 + np.exp(-Z))  # Simplified negation
    cache = Z  # Cache the value of Z for backpropagation

    return A, cache
print(sigmoid(1), sigmoid_orig(1))
(0.7310585786300049, 1) (0.7310585786300049, 1)
In [32]:
def sigmoid_derivative(Z):
    A, _ = sigmoid(Z)
    return A * (1 - A)
In [7]:
Z = np.array([1, 2, 3])
np.dot(-1, Z) # This is equal to -1*Z or -Z
Out[7]:
array([-1, -2, -3])
In [8]:
np.exp(np.dot(-1, Z))
Out[8]:
array([0.36787944, 0.13533528, 0.04978707])
In [9]:
# Example
import numpy as np

# Define the weight matrix, input vector, and bias vector
W = np.array([[0.2, 0.8], [0.5, 0.1]])
X = np.array([[1], [2]])
b = np.array([[0.1], [0.2]])

# Perform the linear transformation
Z = np.dot(W, X) + b

# Apply the sigmoid activation function
A = 1 / (1 + np.exp(-Z)) # - is used to multiply the matrix with -1 and works seemlessly also with arrays

print("Z:", Z)
print("A:", A)
Z: [[1.9]
 [0.9]]
A: [[0.86989153]
 [0.7109495 ]]
In [9]:
def forward_prop(X, params):

    A = X # input to first layer i.e. training data
    caches = []
    L = len(params)//2 # The number of layers in the network. Each layer has a weight and a bias, so the total number of parameters is twice the number of layers.
    print(f'Length of params: {len(params)}, L: {L}, Params: {params}')
    for l in range(1, L+1):
        A_prev = A

        # Debug
        print(f"Shape of W{str(l)}): {params['W'+str(l)].shape}")
        print(f"Shape of A_prev: {A_prev.shape}")
        
        # Linear Hypothesis - Using the formula Z = W*X + b
        print(f'Weight {"W"+str(l)}: {params["W"+str(l)]}, A_prev: {A_prev}, Bias: {params["b"+str(l)]}')
        Z = np.dot(params['W'+str(l)], A_prev) + params['b'+str(l)] 

        # Storing the linear cache
        linear_cache = (A_prev, params['W'+str(l)], params['b'+str(l)]) 
        print(f'Linear Cache: {linear_cache}')
        # Applying sigmoid on linear hypothesis
        A, activation_cache = sigmoid(Z) 
        print(f'Sigmoid: {A}, Activation Cache: {activation_cache}')
         # storing the both linear and activation cache
        cache = (linear_cache, activation_cache)
        caches.append(cache)

    return A, caches

image.png

graph LR
  subgraph Input Layer
    A[Input Vector/Matrix #40;X#41;] --> B[Weight Matrix #40;W#41;]
    A --> C[Bias Vector #40;b#41;]
    B --> D[Linear Transformation #40;Z = W * X + b#41;]
    C --> D
    D --> E[Activation Function #40;A = sigmoid#40;Z#41;#41;]
    E --> F[Output #40;A#41;]
  end

  subgraph Hidden Layer 1
    D -->|Cache| G[Cache]
  end

  subgraph Output Layer
    F --> H[Final Output #40;A#41;]
  end

  subgraph Variables
    A#40;#40;A#41;#41; -->|numpy.ndarray| A_value{{array[[0.50665373]]}}
    W#40;#40;W#41;#41; -->|numpy.ndarray| W_value{{array[[0.2, 0.8], [0.5, 0.1]]}}
    X#40;#40;X#41;#41; -->|numpy.ndarray| X_value{{array[1, 2]}}
    Z#40;#40;Z#41;#41; -->|numpy.ndarray| Z_value{{array[[1.9], [0.9]]}}
    b#40;#40;b#41;#41; -->|numpy.ndarray| b_value{{array[[0.1], [0.2]]}}
    caches#40;#40;caches#41;#41; -->|list| caches_value{{[((array[1, 2]), array[[0.01788628, 0.0043651]], array[[0.]])), array[[0.02661648]]]]}}
    params#40;#40;params#41;#41; -->|dict| params_value{{{'W1': array[[0.01788628, 0.0043651]], 'b1': array[[0.]]}}}}
  end

  A_value --> A
  W_value --> W
  X_value --> X
  Z_value --> Z
  b_value --> b
  caches_value --> caches
  params_value --> params

Relationships between the variables in the neural network¶

For every X (input), there is a corresponding W (weight) and b (bias) that are used to compute Z (linear transformation). The output of the linear transformation Z is passed through an activation function to get the final output A.

Let's say we have a neural network with one input layer, one hidden layer, and one output layer. The input layer has two neurons, the hidden layer has two neurons, and the output layer has one neuron.

The input layer has two neurons, so the input vector X will have two elements. The weight matrix W connecting the input layer to the hidden layer will be a 2x2 matrix. The bias vector b for the hidden layer will be a 2x1 vector.

graph LR
  subgraph Input Layer
    A1[Neuron 1 - b1]
    A2[Neuron 2 - b2]
  end

  subgraph Hidden Layer
    B1[Neuron 1 - b1]
    B2[Neuron 2 - b2]
  end

  subgraph Output Layer
    C1[Neuron 1 - b1]
  end

  A1 -->|W11| B1
  A1 -->|W12| B2
  A2 -->|W21| B1
  A2 -->|W22| B2

  B1 -->|W31| C1
  B2 -->|W32| C1

  style A1 fill:#f9f,stroke:#333,stroke-width:2px,color:#000
  style A2 fill:#f9f,stroke:#333,stroke-width:2px,color:#000
  style B1 fill:#9f9,stroke:#333,stroke-width:2px,color:#000
  style B2 fill:#9f9,stroke:#333,stroke-width:2px,color:#000
  style C1 fill:#ff9,stroke:#333,stroke-width:2px,color:#000

The number of Weights paramas is given by the formula:

[ \begin{equation} \text{Number of Weights} = \text{Number of Neurons in Previous Layer} \times \text{Number of Neurons in Current Layer} \end{equation} ]

The number of Bias params is given by the formula: [ \begin{equation} \text{Number of Biases} = \text{Number of Neurons in Current Layer} \end{equation} ]

In [28]:
X = np.array([1,2]) # Neural Network Input
params = init_params([2, 1]) # Neural Network Parameters
print(f'X: {X}\nParams: {params}')

A, caches = forward_prop(X, params)

print(f"\nA:\t{A}\nCaches:\t{caches}")
X: [1 2]
Params: {'W1': array([[0.01788628, 0.0043651 ]]), 'b1': array([[0.]])}
Length of params: 2, L: 1, Params: {'W1': array([[0.01788628, 0.0043651 ]]), 'b1': array([[0.]])}
Shape of W1): (1, 2)
Shape of A_prev: (2,)
Weight W1: [[0.01788628 0.0043651 ]], A_prev: [1 2], Bias: [[0.]]
Linear Cache: (array([1, 2]), array([[0.01788628, 0.0043651 ]]), array([[0.]]))
Sigmoid: [[0.50665373]], Activation Cache: [[0.02661648]]

A:	[[0.50665373]]
Caches:	[((array([1, 2]), array([[0.01788628, 0.0043651 ]]), array([[0.]])), array([[0.02661648]]))]

X=[[1,2]]

params={
        'W1': array([[0.2, 0.8], [0.5, 0.1]]), 
        'b1': array([[0.1], [0.2]]),
        'W2': array([[0.3, 0.7]]),
        'b2': array([[0.3]])
    }
graph TD
    subgraph Input Layer
        X1[1] -->|W1| Z1
        X2[2] -->|W1| Z1
        X3[3] -->|W1| Z2
        X4[4] -->|W1| Z2
    end

    subgraph Hidden Layer 1
        Z1[Z1 = 0.2*1 + 0.8*2] -->| b1| Z1b
        Z2[Z2 = 0.5*3 + 0.1*4] -->| b1| Z2b
        Z1b[Z1b = Z1 + 0.1] -->|Sigmoid| A1
        Z2b[Z2b = Z2 + 0.2] -->|Sigmoid| A2
    end

    subgraph Output Layer
        A1 -->|W2| Z3
        A2 -->|W2| Z3
        Z3[Z3 = 0.3*A1 + 0.7*A2] -->| b2| Z3b
        Z3b[Z3b = Z3 + 0.3] -->|Sigmoid| A3
    end

    A3 --> FinalOutput[Output A3]
%%{init: {'theme': 'base', 'themeVariables': { 'primaryColor': '#ffcc00', 'edgeLabelBackground':'#ffffff', 'tertiaryColor': '#ffffff'}}}%%
graph LR
    subgraph Column1
        A[Input Vector/Matrix #40;X#41;] --> B[Weight Matrix #40;W#41;]
        A --> C[Bias Vector #40;b#41;]
        B --> D[Linear Transformation #40;Z = W * X + b#41;]
        C --> D
        D --> E[Activation Function #40;A = sigmoid#40;Z#41;#41;]
        E --> F[Output #40;A#41;]
    end

    subgraph Column2
        B_explanation[Weights applied to the input data]
        C_explanation[Biases added to the weighted sum]
        D_explanation[Linear combination of weights, inputs, and biases]
        E_explanation[Activation function applied to the linear transformation]
        F_explanation[Final output after applying the activation function]

        B -.-> B_explanation
        C -.-> C_explanation
        D -.-> D_explanation
        E -.-> E_explanation
        F -.-> F_explanation
    end
In [36]:
# Example with 2 layers
import numpy as np

# Example parameters
params = {
    'W1': np.array([[0.2, 0.8], [0.5, 0.1]]),
    'b1': np.array([[0.1], [0.2]]),
    'W2': np.array([[0.3, 0.7]]),
    'b2': np.array([[0.3]])
}

# Example input
X = np.array([[1, 2], [3, 4]])

# Perform forward propagation
A, caches = forward_prop(X, params)

print("Final Activation:", A)
print("Caches:", caches)
Length of params: 4, L: 2, Params: {'W1': array([[0.2, 0.8],
       [0.5, 0.1]]), 'b1': array([[0.1],
       [0.2]]), 'W2': array([[0.3, 0.7]]), 'b2': array([[0.3]])}
Weight W1: [[0.2 0.8]
 [0.5 0.1]], A_prev: [[1 2]
 [3 4]], Bias: [[0.1]
 [0.2]]
Linear Cache: (array([[1, 2],
       [3, 4]]), array([[0.2, 0.8],
       [0.5, 0.1]]), array([[0.1],
       [0.2]]))
Sigmoid: [[0.93702664 0.97587298]
 [0.73105858 0.83201839]], Activation Cache: [[2.7 3.7]
 [1.  1.6]]
Weight W2: [[0.3 0.7]], A_prev: [[0.93702664 0.97587298]
 [0.73105858 0.83201839]], Bias: [[0.3]]
Linear Cache: (array([[0.93702664, 0.97587298],
       [0.73105858, 0.83201839]]), array([[0.3, 0.7]]), array([[0.3]]))
Sigmoid: [[0.74891783 0.7640791 ]], Activation Cache: [[1.092849   1.17517476]]
Final Activation: [[0.74891783 0.7640791 ]]
Caches: [((array([[1, 2],
       [3, 4]]), array([[0.2, 0.8],
       [0.5, 0.1]]), array([[0.1],
       [0.2]])), array([[2.7, 3.7],
       [1. , 1.6]])), ((array([[0.93702664, 0.97587298],
       [0.73105858, 0.83201839]]), array([[0.3, 0.7]]), array([[0.3]])), array([[1.092849  , 1.17517476]]))]

Let's now define our cost function.¶

The cost function is a measure of how wrong the model is in terms of its ability to estimate the relationship between X and Y. The cost function we will use is the mean squared error (MSE), which is defined as:

[ \begin{equation} J = \frac{1}{m} \sum_{i=1}^{m} (Y_{\text{pred}} - Y_{\text{true}})^2 \end{equation} ]

Where:

  • ( J ) is the cost function
  • ( m ) is the number of data points in the dataset or batch
  • ( $Y_{\text{pred}}$ ) is the predicted output
  • ( $Y_{\text{true}}$ ) is the true output
  • ( ${\sum}$ ) is the sum over all data points
  • ( $(Y_{\text{pred}} - Y_{\text{true}})^2$ ) is the squared error
  • ( ${\frac{1}{m} \sum_{i=1}^{m} (Y_{\text{pred}} - Y_{\text{true}})^2}$ ) is the mean squared error

This is the Gradient Descent algorithm. It is the process of minimizing the cost function by adjusting the weights and biases of the neural network. The algorithm works by taking the derivative of the cost function with respect to each weight and bias and updating them in the opposite direction of the gradient.

In [11]:
def cost_function(A, Y):
    """
    Compute the cost function for the neural network.
    
    Parameters:
    A - the final activation value
    Y - the true label
    
    Returns:
    cost - the cost function value
    """
    m = Y.shape[1]

    cost = (-1/m)*(np.dot(np.log(A), Y.T) + np.dot(np.log(1-A), 1-Y.T)) 

    return cost
In [37]:
A = np.array([[0.9, 0.0000001]])  # Example predicted output
Y = np.array([[1, 0]])      # Example true labels

cost = cost_function(A, Y)
print("Cost:", cost)
Cost: [[0.05268031]]

The Backpropagation Algorithm¶

The backpropagation algorithm is a method for training neural networks. It works by calculating the gradient of the cost function with respect to the weights and biases of the network. This gradient is then used to update the weights and biases in the opposite direction of the gradient, thereby minimizing the cost function.

Explanation of one_layer_backward Function¶

The one_layer_backward function computes the gradients for a single layer during the backpropagation process in a neural network. Here is a step-by-step explanation of what happens in the function:

  1. Extract Cache Values:

    • The cache parameter contains two elements: linear_cache and activation_cache.
    • linear_cache contains the values (A_prev, W, b) from the forward pass.
    • activation_cache contains the value Z from the forward pass.
  2. Compute dZ:

    • dZ is the gradient of the cost with respect to Z.
    • For the sigmoid activation function, the derivative is computed as: $$ dZ = dA \cdot \sigma(Z) \cdot (1 - \sigma(Z)) $$
    • Where:
      • ( dA ) is the gradient of the cost with respect to the activation of the current layer.
      • ( $\sigma(Z)$ ) is the sigmoid function applied to ( Z ).
  3. Extract Linear Cache Values:

    • A_prev, W, and b are extracted from linear_cache.
    • m is the number of training examples.
  4. Compute Gradients:

    • The gradient of the cost with respect to the weights ( W ) is computed as: $$ dW = \frac{1}{m} \cdot dZ \cdot A_{\text{prev}}^T $$

    • The gradient of the cost with respect to the biases ( b ) is computed as: $$ db = \frac{1}{m} \cdot \sum dZ $$

    • The gradient of the cost with respect to the activation of the previous layer ( $A_{\text{prev}}$ ) is computed as:

      $$ dA_{\text{prev}} = W^T \cdot dZ $$

  5. Return Gradients:

    • The function returns the gradients dA_prev, dW, and db.

Summary of Formulas¶

  • Gradient of ( Z ): $$ dZ = dA \cdot \sigma(Z) \cdot (1 - \sigma(Z)) $$

  • Gradient of Weights: $$ dW = \frac{1}{m} \cdot dZ \cdot A_{\text{prev}}^T $$

  • Gradient of Biases: $$ db = \frac{1}{m} \cdot \sum dZ $$

  • Gradient of Previous Layer Activation: $$ dA_{\text{prev}} = W^T \cdot dZ $$

This function is essential for updating the parameters of the neural network during training, allowing the network to learn from the data.

In [74]:
def one_layer_backward_orig(dA, cache):
    linear_cache, activation_cache = cache

    Z = activation_cache
    
    print(f'---------------------------Z: {Z}')

    dZ = dA*sigmoid(Z)*(1-sigmoid(Z)) # The derivative of the sigmoid function

    A_prev, W, b = linear_cache
    m = A_prev.shape[1]

    dW = (1/m)*np.dot(dZ, A_prev.T)
    db = (1/m)*np.sum(dZ, axis=1, keepdims=True)
    dA_prev = np.dot(W.T, dZ)

    return dA_prev, dW, db
In [73]:
def one_layer_backward(dA, cache):
    linear_cache, activation_cache = cache
    Z = activation_cache  # Ensure Z is correctly assigned from activation_cache
    
    dZ = dA * sigmoid_derivative(Z)  # Use the sigmoid derivative function
    A_prev, W, b = linear_cache
    m = A_prev.shape[1]
    dW = (1/m) * np.dot(dZ, A_prev.T)
    db = (1/m) * np.sum(dZ, axis=1, keepdims=True)
    dA_prev = np.dot(W.T, dZ)
    
    return dA_prev, dW, db
In [88]:
def backprop(AL, Y, caches):
    grads = {}
    L = len(caches)
    m = AL.shape[1]
    Y = Y.reshape(AL.shape)

    dAL = -(np.divide(Y, AL) - np.divide(1-Y, 1-AL))

    current_cache = caches[L-1]
    grads['dA'+str(L-1)], grads['dW'+str(L-1)], grads['db'+str(L-1)] = one_layer_backward(dAL, current_cache)

    for l in reversed(range(L-1)):

        current_cache = caches[l]
        dA_prev_temp, dW_temp, db_temp = one_layer_backward(grads["dA" + str(l+1)], current_cache)
        grads["dA" + str(l)] = dA_prev_temp
        grads["dW" + str(l + 1)] = dW_temp
        grads["db" + str(l + 1)] = db_temp

    return grads
graph TD
    A[Start Backpropagation] --> B[Initialize grads dictionary]
    B --> C[Calculate dAL]
    C --> D[Calculate gradients for last layer]
    D --> E[Iterate through layers backwards]
    E --> F[Calculate gradients for current layer]
    F --> G{More layers?}
    G -->|Yes| E
    G -->|No| H[Return grads dictionary]
    
    subgraph Inputs
        I1[AL: Last layer output]
        I2[Y: True labels]
        I3[caches: Cached values]
    end
    
    subgraph For each layer
        F1[Get cached values]
        F2[Calculate dA, dW, db]
        F3[Store gradients in grads]
        F1 --> F2 --> F3
    end
    
    I1 & I2 & I3 --> A
    E --> F1

This code implements the backpropagation algorithm for a neural network. Here's a breakdown of what it does:

  1. The function backprop takes three parameters:
  • AL: The output of the last layer (prediction)
  • Y: The true labels
  • caches: A list of cached values from forward propagation
  1. It initializes an empty dictionary grads to store gradients.
  2. L is set to the number of layers in the network.
  3. m is the number of training examples.
  4. Y is reshaped to match the shape of AL.
  5. dAL is calculated as the derivative of the cost with respect to the final layer output.
  6. The gradients for the last layer are calculated using one_layer_backward.
  7. The function then iterates backwards through the remaining layers:
  • For each layer, it calculates the gradients using one_layer_backward.
  • The gradients (dA, dW, db) for each layer are stored in the grads dictionary.

Finally, it returns the grads dictionary containing all gradients.

In [104]:
def update_parameters(parameters, grads, learning_rate):
    L = len(parameters) // 2
    print(f'Grads: {grads}')
    print(f'Parameters: {parameters}')
    for l in range(L-1):
        print(f'Param W{l+1}: {parameters["W"+str(l+1)]}')
        print(f'Grads dA{(l+1)}: {learning_rate*grads["dA"+str(l+1)]}')
        print(f'b{str(l+1)}: {parameters["b"+str(l+1)]}')
        print(f'learning_rate * b{str(l+1)}: {learning_rate*grads["db"+str(l+1)]}')
        # parameters["W"+str(l+1)] = parameters['W'+str(l+1)] - learning_rate*grads['dA'+str(l+1)]
        parameters["W"+str(l+1)] = parameters['W'+str(l+1)] - learning_rate*grads['dW'+str(l+1)]
        parameters['b'+str(l+1)] = parameters['b'+str(l+1)] - learning_rate*grads['db'+str(l+1)]

    return parameters
graph TD
    A[Start update_parameters] --> B[Calculate number of layers]
    B --> C[Iterate through layers]
    C --> D[Update weights W]
    D --> E[Update biases b]
    E --> F{More layers?}
    F -->|Yes| C
    F -->|No| G[Return updated parameters]

    subgraph Inputs
        I1[parameters]
        I2[grads]
        I3[learning_rate]
    end

    I1 & I2 & I3 --> A
  1. Inputs (parameters, grads, learning_rate):
  • These are the parameters of the update_parameters function.
    • parameters is a dictionary containing the current weights and biases.
    • grads is a dictionary containing the gradients for each parameter.
    • learning_rate is a scalar value determining the step size for updates.
  1. Calculate number of layers:

-L = len(parameters) // 2

  • This calculates the number of layers in the network. It's divided by 2 because each layer has both weights (W) and biases (b).
  1. Iterate through layers:
  • for l in range(L):
  • This loop goes through each layer of the network.
  1. Update weights W:
  • parameters['W'+str(l+1)] = parameters['W'+str(l+1)] - learning_rate * grads['dW'+str(l+1)]
  • For each layer, this updates the weights by subtracting the product of the learning rate and the corresponding gradient.
  1. Update biases b:
  • parameters['b'+str(l+1)] = parameters['b'+str(l+1)] - learning_rate * grads['db'+str(l+1)]
  • Similarly, this updates the biases for each layer.
  1. Return updated parameters:
  • return parameters
  • After processing all layers, the function returns the dictionary containing all updated parameters.

Key points about this function:

  • It uses gradient descent to update the parameters of the neural network.
  • The update is performed for both weights (W) and biases (b) of each layer.
  • The learning rate determines how large of a step is taken in the direction of the negative gradient.
  • The process is repeated for each layer in the network.
  • The function modifies the parameters dictionary in-place and then returns it.

This update process is typically called after the backpropagation step in each iteration of training a neural network. It adjusts the parameters to minimize the loss function, gradually improving the network's performance on the training data.

In [41]:
def train(X, Y, layer_dims, epochs, lr):
    params = init_params(layer_dims)
    cost_history = []

    for i in range(epochs):
        Y_hat, caches = forward_prop(X, params)
        cost = cost_function(Y_hat, Y)
        cost_history.append(cost)
        grads = backprop(Y_hat, Y, caches)
        print(f'PARAMS BEFORE UPDATE: {params}')
        params = update_parameters(params, grads, lr)


    return params, cost_history
graph TD
    A[Start train] --> B[Initialize parameters]
    B --> C[Initialize cost history]
    C --> D[Start epoch loop]
    D --> E[Forward propagation]
    E --> F[Calculate cost]
    F --> G[Backpropagation]
    G --> H[Update parameters]
    H --> I{More epochs?}
    I -->|Yes| D
    I -->|No| J[Return parameters and cost history]

    subgraph Inputs
        I1[X: Input data]
        I2[Y: True labels]
        I3[layer_dims: Layer dimensions]
        I4[epochs: Number of epochs]
        I5[lr: Learning rate]
    end

    I1 & I2 & I3 & I4 & I5 --> A

Certainly! I'll create a simplified diagram for the train function and then provide an explanation.

graph TD
    A[Start train] --> B[Initialize parameters]
    B --> C[Initialize cost history]
    C --> D[Start epoch loop]
    D --> E[Forward propagation]
    E --> F[Calculate cost]
    F --> G[Backpropagation]
    G --> H[Update parameters]
    H --> I{More epochs?}
    I -->|Yes| D
    I -->|No| J[Return parameters and cost history]

    subgraph Inputs
        I1[X: Input data]
        I2[Y: True labels]
        I3[layer_dims: Layer dimensions]
        I4[epochs: Number of epochs]
        I5[lr: Learning rate]
    end

    I1 & I2 & I3 & I4 & I5 --> A

Now, let me explain this diagram and how it relates to the train function:

  1. Inputs (X, Y, layer_dims, epochs, lr):

    • X: Input data
    • Y: True labels
    • layer_dims: Dimensions of each layer in the network
    • epochs: Number of training iterations
    • lr: Learning rate
  2. Initialize parameters:

    • params = init_params(layer_dims)
    • This initializes the weights and biases for all layers of the network.
  3. Initialize cost history:

    • cost_history = []
    • This list will store the cost (loss) for each epoch.
  4. Start epoch loop:

    • for i in range(epochs):
    • This loop runs the training process for the specified number of epochs.
  5. Forward propagation:

    • Y_hat, caches = forward_prop(X, params)
    • This step computes the predictions (Y_hat) and stores intermediate values (caches) for each layer.
  6. Calculate cost:

    • cost = cost_function(Y_hat, Y)
    • This calculates the loss between the predictions and true labels.
    • cost_history.append(cost)
    • The cost is added to the cost history list.
  7. Backpropagation:

    • grads = backprop(Y_hat, Y, caches)
    • This computes the gradients for all parameters.
  8. Update parameters:

    • params = update_parameters(params, grads, lr)
    • This updates all weights and biases using the computed gradients.
  9. Return parameters and cost history:

    • return params, cost_history
    • After all epochs, the function returns the final parameters and the cost history.

Key points about this function:

  1. It encapsulates the entire training process for a neural network.
  2. It uses the previously defined functions (forward_prop, backprop, update_parameters) to perform the key steps of training.
  3. The process is repeated for the specified number of epochs.
  4. It tracks the cost over time, which can be used to plot the learning curve.
  5. The function returns both the trained parameters and the cost history, which can be used for evaluation and visualization.

This train function represents a complete training loop for a neural network. It repeatedly performs forward propagation to make predictions, calculates the cost, performs backpropagation to compute gradients, and updates the parameters. This process gradually improves the network's performance on the training data over multiple epochs.

In [39]:
import numpy as np

# Set the random seed for reproducibility
np.random.seed(1)

# Number of examples
m = 100  # You can change this to any number of examples you want

# Generate random input features
X = np.random.randn(2, m)  # 2 features, m examples

# Generate random labels (0 or 1)
Y = (np.sum(X, axis=0) > 0).astype(int).reshape(1, m)  # Simple rule: sum of features > 0 -> label 1, else 0

print("Input features (X):")
print(X)
print("Labels (Y):")
print(Y)
Input features (X):
[[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
   1.74481176 -0.7612069   0.3190391  -0.24937038  1.46210794 -2.06014071
  -0.3224172  -0.38405435  1.13376944 -1.09989127 -0.17242821 -0.87785842
   0.04221375  0.58281521 -1.10061918  1.14472371  0.90159072  0.50249434
   0.90085595 -0.68372786 -0.12289023 -0.93576943 -0.26788808  0.53035547
  -0.69166075 -0.39675353 -0.6871727  -0.84520564 -0.67124613 -0.0126646
  -1.11731035  0.2344157   1.65980218  0.74204416 -0.19183555 -0.88762896
  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
   0.12015895  0.61720311  0.30017032 -0.35224985 -1.1425182  -0.34934272
  -0.20889423  0.58662319  0.83898341  0.93110208  0.28558733  0.88514116
  -0.75439794  1.25286816  0.51292982 -0.29809284  0.48851815 -0.07557171
   1.13162939  1.51981682  2.18557541 -1.39649634 -1.44411381 -0.50446586
   0.16003707  0.87616892  0.31563495 -2.02220122 -0.30620401  0.82797464
   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
   0.19829972  0.11900865 -0.67066229  0.37756379  0.12182127  1.12948391
   1.19891788  0.18515642 -0.37528495 -0.63873041  0.42349435  0.07734007
  -0.34385368  0.04359686 -0.62000084  0.69803203]
 [-0.44712856  1.2245077   0.40349164  0.59357852 -1.09491185  0.16938243
   0.74055645 -0.9537006  -0.26621851  0.03261455 -1.37311732  0.31515939
   0.84616065 -0.85951594  0.35054598 -1.31228341 -0.03869551 -1.61577235
   1.12141771  0.40890054 -0.02461696 -0.77516162  1.27375593  1.96710175
  -1.85798186  1.23616403  1.62765075  0.3380117  -1.19926803  0.86334532
  -0.1809203  -0.60392063 -1.23005814  0.5505375   0.79280687 -0.62353073
   0.52057634 -1.14434139  0.80186103  0.0465673  -0.18656977 -0.10174587
   0.86888616  0.75041164  0.52946532  0.13770121  0.07782113  0.61838026
   0.23249456  0.68255141 -0.31011677 -2.43483776  1.0388246   2.18697965
   0.44136444 -0.10015523 -0.13644474 -0.11905419  0.01740941 -1.12201873
  -0.51709446 -0.99702683  0.24879916 -0.29664115  0.49521132 -0.17470316
   0.98633519  0.2135339   2.19069973 -1.89636092 -0.64691669  0.90148689
   2.52832571 -0.24863478  0.04366899 -0.22631424  1.33145711 -0.28730786
   0.68006984 -0.3198016  -1.27255876  0.31354772  0.50318481  1.29322588
  -0.11044703 -0.61736206  0.5627611   0.24073709  0.28066508 -0.0731127
   1.16033857  0.36949272  1.90465871  1.1110567   0.6590498  -1.62743834
   0.60231928  0.4202822   0.81095167  1.04444209]]
Labels (Y):
[[1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0
  0 0 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1
  1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1]]
In [106]:
layer_dims = [2, 5, 1]
epochs = 100
lr = 0.01
params, cost_history = train(X, Y, layer_dims, epochs, lr)

print(f"Final parameters: {params}")
print(f"Final cost: {cost_history}")
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01788628,  0.0043651 ],
       [ 0.00096497, -0.01863493],
       [-0.00277388, -0.00354759],
       [-0.00082741, -0.00627001],
       [-0.00043818, -0.00477218]]), 'b1': array([[0.],
       [0.],
       [0.],
       [0.],
       [0.]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01788628  0.0043651 ]
 [ 0.00096497 -0.01863493]
 [-0.00277388 -0.00354759]
 [-0.00082741 -0.00627001]
 [-0.00043818 -0.00477218]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
   1.74481176 -0.7612069   0.3190391  -0.24937038  1.46210794 -2.06014071
  -0.3224172  -0.38405435  1.13376944 -1.09989127 -0.17242821 -0.87785842
   0.04221375  0.58281521 -1.10061918  1.14472371  0.90159072  0.50249434
   0.90085595 -0.68372786 -0.12289023 -0.93576943 -0.26788808  0.53035547
  -0.69166075 -0.39675353 -0.6871727  -0.84520564 -0.67124613 -0.0126646
  -1.11731035  0.2344157   1.65980218  0.74204416 -0.19183555 -0.88762896
  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
   0.12015895  0.61720311  0.30017032 -0.35224985 -1.1425182  -0.34934272
  -0.20889423  0.58662319  0.83898341  0.93110208  0.28558733  0.88514116
  -0.75439794  1.25286816  0.51292982 -0.29809284  0.48851815 -0.07557171
   1.13162939  1.51981682  2.18557541 -1.39649634 -1.44411381 -0.50446586
   0.16003707  0.87616892  0.31563495 -2.02220122 -0.30620401  0.82797464
   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
   0.19829972  0.11900865 -0.67066229  0.37756379  0.12182127  1.12948391
   1.19891788  0.18515642 -0.37528495 -0.63873041  0.42349435  0.07734007
  -0.34385368  0.04359686 -0.62000084  0.69803203]
 [-0.44712856  1.2245077   0.40349164  0.59357852 -1.09491185  0.16938243
   0.74055645 -0.9537006  -0.26621851  0.03261455 -1.37311732  0.31515939
   0.84616065 -0.85951594  0.35054598 -1.31228341 -0.03869551 -1.61577235
   1.12141771  0.40890054 -0.02461696 -0.77516162  1.27375593  1.96710175
  -1.85798186  1.23616403  1.62765075  0.3380117  -1.19926803  0.86334532
  -0.1809203  -0.60392063 -1.23005814  0.5505375   0.79280687 -0.62353073
   0.52057634 -1.14434139  0.80186103  0.0465673  -0.18656977 -0.10174587
   0.86888616  0.75041164  0.52946532  0.13770121  0.07782113  0.61838026
   0.23249456  0.68255141 -0.31011677 -2.43483776  1.0388246   2.18697965
   0.44136444 -0.10015523 -0.13644474 -0.11905419  0.01740941 -1.12201873
  -0.51709446 -0.99702683  0.24879916 -0.29664115  0.49521132 -0.17470316
   0.98633519  0.2135339   2.19069973 -1.89636092 -0.64691669  0.90148689
   2.52832571 -0.24863478  0.04366899 -0.22631424  1.33145711 -0.28730786
   0.68006984 -0.3198016  -1.27255876  0.31354772  0.50318481  1.29322588
  -0.11044703 -0.61736206  0.5627611   0.24073709  0.28066508 -0.0731127
   1.16033857  0.36949272  1.90465871  1.1110567   0.6590498  -1.62743834
   0.60231928  0.4202822   0.81095167  1.04444209]], Bias: [[0.]
 [0.]
 [0.]
 [0.]
 [0.]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
        -2.3015387 ,  1.74481176, -0.7612069 ,  0.3190391 , -0.24937038,
         1.46210794, -2.06014071, -0.3224172 , -0.38405435,  1.13376944,
        -1.09989127, -0.17242821, -0.87785842,  0.04221375,  0.58281521,
        -1.10061918,  1.14472371,  0.90159072,  0.50249434,  0.90085595,
        -0.68372786, -0.12289023, -0.93576943, -0.26788808,  0.53035547,
        -0.69166075, -0.39675353, -0.6871727 , -0.84520564, -0.67124613,
        -0.0126646 , -1.11731035,  0.2344157 ,  1.65980218,  0.74204416,
        -0.19183555, -0.88762896, -0.74715829,  1.6924546 ,  0.05080775,
        -0.63699565,  0.19091548,  2.10025514,  0.12015895,  0.61720311,
         0.30017032, -0.35224985, -1.1425182 , -0.34934272, -0.20889423,
         0.58662319,  0.83898341,  0.93110208,  0.28558733,  0.88514116,
        -0.75439794,  1.25286816,  0.51292982, -0.29809284,  0.48851815,
        -0.07557171,  1.13162939,  1.51981682,  2.18557541, -1.39649634,
        -1.44411381, -0.50446586,  0.16003707,  0.87616892,  0.31563495,
        -2.02220122, -0.30620401,  0.82797464,  0.23009474,  0.76201118,
        -0.22232814, -0.20075807,  0.18656139,  0.41005165,  0.19829972,
         0.11900865, -0.67066229,  0.37756379,  0.12182127,  1.12948391,
         1.19891788,  0.18515642, -0.37528495, -0.63873041,  0.42349435,
         0.07734007, -0.34385368,  0.04359686, -0.62000084,  0.69803203],
       [-0.44712856,  1.2245077 ,  0.40349164,  0.59357852, -1.09491185,
         0.16938243,  0.74055645, -0.9537006 , -0.26621851,  0.03261455,
        -1.37311732,  0.31515939,  0.84616065, -0.85951594,  0.35054598,
        -1.31228341, -0.03869551, -1.61577235,  1.12141771,  0.40890054,
        -0.02461696, -0.77516162,  1.27375593,  1.96710175, -1.85798186,
         1.23616403,  1.62765075,  0.3380117 , -1.19926803,  0.86334532,
        -0.1809203 , -0.60392063, -1.23005814,  0.5505375 ,  0.79280687,
        -0.62353073,  0.52057634, -1.14434139,  0.80186103,  0.0465673 ,
        -0.18656977, -0.10174587,  0.86888616,  0.75041164,  0.52946532,
         0.13770121,  0.07782113,  0.61838026,  0.23249456,  0.68255141,
        -0.31011677, -2.43483776,  1.0388246 ,  2.18697965,  0.44136444,
        -0.10015523, -0.13644474, -0.11905419,  0.01740941, -1.12201873,
        -0.51709446, -0.99702683,  0.24879916, -0.29664115,  0.49521132,
        -0.17470316,  0.98633519,  0.2135339 ,  2.19069973, -1.89636092,
        -0.64691669,  0.90148689,  2.52832571, -0.24863478,  0.04366899,
        -0.22631424,  1.33145711, -0.28730786,  0.68006984, -0.3198016 ,
        -1.27255876,  0.31354772,  0.50318481,  1.29322588, -0.11044703,
        -0.61736206,  0.5627611 ,  0.24073709,  0.28066508, -0.0731127 ,
         1.16033857,  0.36949272,  1.90465871,  1.1110567 ,  0.6590498 ,
        -1.62743834,  0.60231928,  0.4202822 ,  0.81095167,  1.04444209]]), array([[ 0.01788628,  0.0043651 ],
       [ 0.00096497, -0.01863493],
       [-0.00277388, -0.00354759],
       [-0.00082741, -0.00627001],
       [-0.00043818, -0.00477218]]), array([[0.],
       [0.],
       [0.],
       [0.],
       [0.]]))
Sigmoid: [[0.50677502 0.49860077 0.49807857 0.49585    0.50267486 0.48989472
  0.50860935 0.49555558 0.50113609 0.49892052 0.5050393  0.49113279
  0.49948168 0.49734473 0.50545206 0.49365004 0.49918675 0.49431159
  0.50141253 0.50305228 0.4950518  0.5042727  0.50542133 0.50439347
  0.50200066 0.49829166 0.5012267  0.49618458 0.49749341 0.50331362
  0.4967098  0.49756686 0.49558504 0.49682143 0.49786366 0.49926293
  0.49557207 0.49979942 0.50829621 0.50336887 0.4989386  0.49591996
  0.49760724 0.50838605 0.50080498 0.49730192 0.50093862 0.5100649
  0.50079101 0.50350466 0.50100381 0.49576791 0.49602488 0.50082448
  0.49954756 0.50251381 0.50360261 0.50403348 0.50129602 0.50273351
  0.49606245 0.50451414 0.50256509 0.49834335 0.50272483 0.49947143
  0.50613622 0.50702853 0.51216121 0.49168678 0.49283707 0.49872802
  0.50347466 0.50364646 0.50145903 0.49071168 0.50008377 0.50338876
  0.50177102 0.50305836 0.49761715 0.49944446 0.50138333 0.50324479
  0.50076618 0.49985844 0.49761523 0.501951   0.50085101 0.50497062
  0.50662691 0.50123116 0.50040039 0.49835635 0.50261287 0.49856985
  0.49911973 0.50065359 0.4981126  0.50426097]
 [0.50247489 0.49414803 0.49799283 0.49697587 0.50530948 0.49865566
  0.49697091 0.5042593  0.5013172  0.4997879  0.5067493  0.49803477
  0.49598027 0.50391152 0.49864042 0.50584797 0.50013867 0.50731515
  0.49478599 0.49823565 0.49984917 0.50388735 0.49428366 0.49095801
  0.50887223 0.49407638 0.49238815 0.49819955 0.50552222 0.49610593
  0.500676   0.50271776 0.50556451 0.49723132 0.49614467 0.50290177
  0.49730526 0.50538752 0.49666481 0.49996207 0.5008229  0.50025987
  0.49577195 0.49691237 0.49754564 0.49920482 0.49968351 0.49762582
  0.49894586 0.49696911 0.50151716 0.51125638 0.49488495 0.48972862
  0.49789342 0.50060812 0.50083806 0.50077926 0.49998779 0.5054405
  0.502227   0.50494697 0.49896465 0.50131006 0.49781081 0.50079566
  0.49567804 0.49937185 0.49032258 0.50849692 0.5026654  0.49567862
  0.48826197 0.50136969 0.4998727  0.50056649 0.49372356 0.50153823
  0.49688729 0.50167369 0.5058746  0.49849084 0.49770082 0.49407441
  0.50056238 0.5029048  0.49721648 0.49896956 0.49872185 0.50061309
  0.4948837  0.49832331 0.49103713 0.49467    0.49703186 0.50759987
  0.49711104 0.49805255 0.4960725  0.49530276]
 [0.49927012 0.49933822 0.50000842 0.50021763 0.50037094 0.50144582
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Sigmoid: [[0.50274779 0.50274693 0.50276418 0.5027689  0.50277507 0.50279888
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01788628,  0.0043651 ],
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Sigmoid: [[0.50274783 0.50274696 0.50276418 0.5027689  0.50277507 0.50279884
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01787798,  0.0043562 ],
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Sigmoid: [[0.50274787 0.50274699 0.50276419 0.50276889 0.50277508 0.5027988
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01786967,  0.00434729],
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Parameters: {'W1': array([[ 0.01786967,  0.00434729],
       [ 0.00097616, -0.01862294],
       [-0.00276274, -0.00353564],
       [-0.0008058 , -0.00624684],
       [-0.00043755, -0.0047715 ]]), 'b1': array([[-7.04455709e-06],
       [ 4.74298330e-06],
       [ 4.72560024e-06],
       [ 9.16663663e-06],
       [ 2.68278699e-07]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.01786967  0.00434729]
 [ 0.00097616 -0.01862294]
 [-0.00276274 -0.00353564]
 [-0.0008058  -0.00624684]
 [-0.00043755 -0.0047715 ]]
Grads dA1: [[ 6.53322050e-05  6.53323204e-05 -6.60564152e-05 -6.60570330e-05
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  -6.60606167e-05  6.53337268e-05 -6.60585084e-05 -6.60591260e-05
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  -6.60596445e-05  6.53297629e-05  6.53318612e-05 -6.60579978e-05
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   6.53378738e-05  6.53311706e-05  6.53308226e-05 -6.60615327e-05
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   6.53311065e-05  6.53322427e-05  6.53360619e-05  6.53315083e-05
   6.53348567e-05  6.53319244e-05  6.53328871e-05 -6.60611403e-05
   6.53310518e-05  6.53313519e-05  6.53310726e-05  6.53346295e-05]
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  -4.39872600e-05 -4.39874621e-05 -4.39872740e-05 -4.39896689e-05]
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   4.43123337e-05 -4.38247483e-05  4.43109195e-05  4.43113337e-05
   4.43130059e-05  4.43096839e-05 -4.38228571e-05  4.43108133e-05
   4.43101401e-05  4.43114924e-05 -4.38262709e-05 -4.38234272e-05
   4.43102026e-05  4.43110470e-05 -4.38228983e-05 -4.38262158e-05
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  -4.38228922e-05 -4.38245142e-05  4.43097323e-05  4.43149212e-05
   4.43091429e-05 -4.38261072e-05 -4.38228295e-05 -4.38229081e-05
  -4.38232033e-05 -4.38233722e-05 -4.38227041e-05  4.43104998e-05
   4.43116815e-05 -4.38220894e-05 -4.38234969e-05  4.43105770e-05
  -4.38239530e-05  4.43100095e-05 -4.38258696e-05 -4.38248933e-05
  -4.38298069e-05  4.43153683e-05  4.43129452e-05 -4.38233169e-05
  -4.38275301e-05 -4.38230337e-05 -4.38228003e-05  4.43129481e-05
  -4.38244635e-05 -4.38228863e-05 -4.38239453e-05 -4.38227254e-05
   4.43124135e-05 -4.38225864e-05 -4.38235290e-05 -4.38254306e-05
  -4.38223219e-05  4.43106092e-05  4.43094052e-05 -4.38232836e-05
  -4.38229907e-05 -4.38237529e-05 -4.38263147e-05 -4.38232602e-05
  -4.38255062e-05 -4.38235393e-05 -4.38241851e-05  4.43126849e-05
  -4.38229540e-05 -4.38231553e-05 -4.38229679e-05 -4.38253539e-05]
 [-8.50088851e-05 -8.50090352e-05  8.59512121e-05  8.59520160e-05
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  -8.50083888e-05  8.59556926e-05 -8.50105858e-05  8.59594674e-05
   8.59519180e-05  8.59600144e-05 -8.50104844e-05 -8.50092548e-05
   8.59544865e-05 -8.50062604e-05 -8.50135024e-05 -8.50150575e-05
   8.59559252e-05 -8.50088770e-05 -8.50119768e-05  8.59526173e-05
   8.59566790e-05 -8.50108652e-05  8.59539357e-05  8.59547393e-05
   8.59579830e-05  8.59515390e-05 -8.50071966e-05  8.59537298e-05
   8.59524238e-05  8.59550470e-05 -8.50138186e-05 -8.50083025e-05
   8.59525451e-05  8.59541831e-05 -8.50072764e-05 -8.50137118e-05
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  -8.50072647e-05 -8.50104109e-05  8.59516329e-05  8.59616983e-05
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  -8.50078682e-05 -8.50081958e-05 -8.50068998e-05  8.59531217e-05
   8.59554140e-05 -8.50057075e-05 -8.50084377e-05  8.59532714e-05
  -8.50093223e-05  8.59521707e-05 -8.50130402e-05 -8.50111464e-05
  -8.50206777e-05  8.59625655e-05  8.59578652e-05 -8.50080884e-05
  -8.50162612e-05 -8.50075391e-05 -8.50070863e-05  8.59578709e-05
  -8.50103126e-05 -8.50072533e-05 -8.50093074e-05 -8.50069411e-05
   8.59568339e-05 -8.50066714e-05 -8.50084999e-05 -8.50121887e-05
  -8.50061583e-05  8.59533338e-05  8.59509984e-05 -8.50080240e-05
  -8.50074558e-05 -8.50089342e-05 -8.50139036e-05 -8.50079785e-05
  -8.50123354e-05 -8.50085200e-05 -8.50097726e-05  8.59573603e-05
  -8.50073846e-05 -8.50077750e-05 -8.50074116e-05 -8.50120398e-05]
 [-2.48793353e-06 -2.48793792e-06  2.51551237e-06  2.51553590e-06
   2.51556682e-06  2.51568553e-06 -2.48807800e-06  2.51568536e-06
  -2.48784606e-06  2.51553132e-06 -2.48781524e-06  2.51564906e-06
  -2.48791900e-06  2.51564350e-06 -2.48798330e-06  2.51575398e-06
   2.51553303e-06  2.51576999e-06 -2.48798033e-06 -2.48794434e-06
   2.51560820e-06 -2.48785671e-06 -2.48806866e-06 -2.48811417e-06
   2.51565031e-06 -2.48793329e-06 -2.48802401e-06  2.51555350e-06
   2.51567237e-06 -2.48799148e-06  2.51559208e-06  2.51561560e-06
   2.51571053e-06  2.51552194e-06 -2.48788411e-06  2.51558606e-06
   2.51554783e-06  2.51562461e-06 -2.48807791e-06 -2.48791648e-06
   2.51555138e-06  2.51559932e-06 -2.48788645e-06 -2.48807479e-06
  -2.48791400e-06  2.51555147e-06 -2.48787443e-06 -2.48809355e-06
  -2.48788610e-06 -2.48797818e-06  2.51552469e-06  2.51581927e-06
   2.51549122e-06 -2.48806862e-06 -2.48788254e-06 -2.48788700e-06
  -2.48790376e-06 -2.48791335e-06 -2.48787542e-06  2.51556826e-06
   2.51563535e-06 -2.48784053e-06 -2.48792043e-06  2.51557264e-06
  -2.48794632e-06  2.51554042e-06 -2.48805513e-06 -2.48799971e-06
  -2.48827866e-06  2.51584465e-06  2.51570709e-06 -2.48791021e-06
  -2.48814940e-06 -2.48789413e-06 -2.48788088e-06  2.51570725e-06
  -2.48797530e-06 -2.48788577e-06 -2.48794589e-06 -2.48787663e-06
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  -2.48785372e-06  2.51557447e-06  2.51550612e-06 -2.48790832e-06
  -2.48789169e-06 -2.48793496e-06 -2.48808040e-06 -2.48790699e-06
  -2.48803450e-06 -2.48792284e-06 -2.48795950e-06  2.51569231e-06
  -2.48788961e-06 -2.48790104e-06 -2.48789040e-06 -2.48802585e-06]]
b1: [[-7.04455709e-06]
 [ 4.74298330e-06]
 [ 4.72560024e-06]
 [ 9.16663663e-06]
 [ 2.68278699e-07]]
learning_rate * b1: [[ 3.52227865e-06]
 [-2.37149152e-06]
 [-2.36279972e-06]
 [-4.58331786e-06]
 [-1.34139320e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01786137,  0.00433839],
       [ 0.00098175, -0.01861695],
       [-0.00275717, -0.00352967],
       [-0.00079499, -0.00623525],
       [-0.00043723, -0.00477116]]), 'b1': array([[-1.05668357e-05],
       [ 7.11447482e-06],
       [ 7.08839995e-06],
       [ 1.37499545e-05],
       [ 4.02418020e-07]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01786137  0.00433839]
 [ 0.00098175 -0.01861695]
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Parameters: {'W1': array([[ 0.01786137,  0.00433839],
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Param W1: [[ 0.01786137  0.00433839]
 [ 0.00098175 -0.01861695]
 [-0.00275717 -0.00352967]
 [-0.00079499 -0.00623525]
 [-0.00043723 -0.00477116]]
Grads dA1: [[ 6.53321999e-05  6.53323168e-05 -6.60564162e-05 -6.60570330e-05
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b1: [[-1.05668357e-05]
 [ 7.11447482e-06]
 [ 7.08839995e-06]
 [ 1.37499545e-05]
 [ 4.02418020e-07]]
learning_rate * b1: [[ 3.52227871e-06]
 [-2.37149142e-06]
 [-2.36279945e-06]
 [-4.58331755e-06]
 [-1.34139301e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01785306,  0.00432949],
       [ 0.00098735, -0.01861095],
       [-0.00275159, -0.0035237 ],
       [-0.00078418, -0.00622367],
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       [ 9.48596624e-06],
       [ 9.45119940e-06],
       [ 1.83332720e-05],
       [ 5.36557320e-07]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01785306  0.00432949]
 [ 0.00098735 -0.01861095]
 [-0.00275159 -0.0035237 ]
 [-0.00078418 -0.00622367]
 [-0.00043692 -0.00477082]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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 [ 0.00098735 -0.01861095]
 [-0.00275159 -0.0035237 ]
 [-0.00078418 -0.00622367]
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b1: [[-1.40891144e-05]
 [ 9.48596624e-06]
 [ 9.45119940e-06]
 [ 1.83332720e-05]
 [ 5.36557320e-07]]
learning_rate * b1: [[ 3.52227878e-06]
 [-2.37149133e-06]
 [-2.36279918e-06]
 [-4.58331724e-06]
 [-1.34139281e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01784476,  0.00432058],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01784476  0.00432058]
 [ 0.00099294 -0.01860496]
 [-0.00274602 -0.00351773]
 [-0.00077337 -0.00621208]
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Shape of A_prev: (5, 100)
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01784476,  0.00432058],
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Param W1: [[ 0.01784476  0.00432058]
 [ 0.00099294 -0.01860496]
 [-0.00274602 -0.00351773]
 [-0.00077337 -0.00621208]
 [-0.0004366  -0.00477048]]
Grads dA1: [[ 6.53321898e-05  6.53323095e-05 -6.60564184e-05 -6.60570329e-05
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Sigmoid: [[0.50274802 0.5027471  0.50276422 0.50276889 0.50277509 0.50279864
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01783645,  0.00431168],
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Grads: {'dA1': array([[ 0.00653322,  0.00653323, -0.00660564, -0.0066057 , -0.00660578,
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Linear Cache: (array([[0.50675222, 0.49858441, 0.4980738 , 0.49585018, 0.50267317,
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Sigmoid: [[0.50274806 0.50274713 0.50276423 0.50276889 0.50277509 0.50279859
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01782815,  0.00430278],
       [ 0.00100412, -0.01859297],
       [-0.00273488, -0.00350578],
       [-0.00075176, -0.00618891],
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       [ 1.66004400e-05],
       [ 1.65395961e-05],
       [ 3.20832228e-05],
       [ 9.38975104e-07]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653322,  0.00653323, -0.00660564, -0.0066057 , -0.00660578,
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Parameters: {'W1': array([[ 0.01782815,  0.00430278],
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Param W1: [[ 0.01782815  0.00430278]
 [ 0.00100412 -0.01859297]
 [-0.00273488 -0.00350578]
 [-0.00075176 -0.00618891]
 [-0.00043597 -0.00476981]]
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Linear Cache: (array([[0.50674896, 0.49858208, 0.49807312, 0.49585021, 0.50267293,
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Sigmoid: [[0.5027481  0.50274716 0.50276424 0.50276889 0.50277509 0.50279855
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01781984,  0.00429387],
       [ 0.00100972, -0.01858698],
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       [-0.00074095, -0.00617733],
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       [ 1.89719310e-05],
       [ 1.89023945e-05],
       [ 3.66665391e-05],
       [ 1.07311433e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
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Parameters: {'W1': array([[ 0.01781984,  0.00429387],
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Param W1: [[ 0.01781984  0.00429387]
 [ 0.00100972 -0.01858698]
 [-0.00272931 -0.00349981]
 [-0.00074095 -0.00617733]
 [-0.00043565 -0.00476947]]
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Sigmoid: [[0.50274814 0.50274718 0.50276425 0.50276889 0.5027751  0.50279851
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  0.01087613 0.01101349 0.01091229 0.0110008  0.01097188 0.01119989
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01781154,  0.00428497],
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Parameters: {'W1': array([[ 0.01781154,  0.00428497],
       [ 0.00101531, -0.01858098],
       [-0.00272373, -0.00349384],
       [-0.00073014, -0.00616574],
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       [ 2.13434220e-05],
       [ 2.12651926e-05],
       [ 4.12498551e-05],
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Param W1: [[ 0.01781154  0.00428497]
 [ 0.00101531 -0.01858098]
 [-0.00272373 -0.00349384]
 [-0.00073014 -0.00616574]
 [-0.00043533 -0.00476913]]
Grads dA1: [[ 6.53321696e-05  6.53322950e-05 -6.60564226e-05 -6.60570327e-05
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  -4.38229430e-05 -4.38231414e-05 -4.38229577e-05 -4.38253199e-05]
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b1: [[-3.17005090e-05]
 [ 2.13434220e-05]
 [ 2.12651926e-05]
 [ 4.12498551e-05]
 [ 1.20725353e-06]]
learning_rate * b1: [[ 3.52227911e-06]
 [-2.37149087e-06]
 [-2.36279784e-06]
 [-4.58331568e-06]
 [-1.34139183e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01780323,  0.00427607],
       [ 0.0010209 , -0.01857499],
       [-0.00271816, -0.00348787],
       [-0.00071933, -0.00615416],
       [-0.00043502, -0.00476879]]), 'b1': array([[-3.52227881e-05],
       [ 2.37149129e-05],
       [ 2.36279905e-05],
       [ 4.58331708e-05],
       [ 1.34139271e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01780323  0.00427607]
 [ 0.0010209  -0.01857499]
 [-0.00271816 -0.00348787]
 [-0.00071933 -0.00615416]
 [-0.00043502 -0.00476879]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
   1.74481176 -0.7612069   0.3190391  -0.24937038  1.46210794 -2.06014071
  -0.3224172  -0.38405435  1.13376944 -1.09989127 -0.17242821 -0.87785842
   0.04221375  0.58281521 -1.10061918  1.14472371  0.90159072  0.50249434
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        -4.51032164e-05,  4.46074658e-05, -4.51028154e-05,
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Parameters: {'W1': array([[ 0.01780323,  0.00427607],
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       [-0.00271816, -0.00348787],
       [-0.00071933, -0.00615416],
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       [ 2.36279905e-05],
       [ 4.58331708e-05],
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Param W1: [[ 0.01780323  0.00427607]
 [ 0.0010209  -0.01857499]
 [-0.00271816 -0.00348787]
 [-0.00071933 -0.00615416]
 [-0.00043502 -0.00476879]]
Grads dA1: [[ 6.53321645e-05  6.53322914e-05 -6.60564237e-05 -6.60570327e-05
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b1: [[-3.52227881e-05]
 [ 2.37149129e-05]
 [ 2.36279905e-05]
 [ 4.58331708e-05]
 [ 1.34139271e-06]]
learning_rate * b1: [[ 3.52227917e-06]
 [-2.37149078e-06]
 [-2.36279757e-06]
 [-4.58331536e-06]
 [-1.34139163e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01779493,  0.00426716],
       [ 0.00102649, -0.018569  ],
       [-0.00271259, -0.00348189],
       [-0.00070852, -0.00614257],
       [-0.0004347 , -0.00476845]]), 'b1': array([[-3.87450673e-05],
       [ 2.60864036e-05],
       [ 2.59907880e-05],
       [ 5.04164862e-05],
       [ 1.47553187e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01779493  0.00426716]
 [ 0.00102649 -0.018569  ]
 [-0.00271259 -0.00348189]
 [-0.00070852 -0.00614257]
 [-0.0004347  -0.00476845]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
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   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
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   1.19891788  0.18515642 -0.37528495 -0.63873041  0.42349435  0.07734007
  -0.34385368  0.04359686 -0.62000084  0.69803203]
 [-0.44712856  1.2245077   0.40349164  0.59357852 -1.09491185  0.16938243
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   0.98633519  0.2135339   2.19069973 -1.89636092 -0.64691669  0.90148689
   2.52832571 -0.24863478  0.04366899 -0.22631424  1.33145711 -0.28730786
   0.68006984 -0.3198016  -1.27255876  0.31354772  0.50318481  1.29322588
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   1.16033857  0.36949272  1.90465871  1.1110567   0.6590498  -1.62743834
   0.60231928  0.4202822   0.81095167  1.04444209]], Bias: [[-3.87450673e-05]
 [ 2.60864036e-05]
 [ 2.59907880e-05]
 [ 5.04164862e-05]
 [ 1.47553187e-06]]
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  0.50275099 0.50279021 0.50273835 0.50281202 0.50276837 0.5028152
  0.50273888 0.50274602 0.50278319 0.50276338 0.50272145 0.50271243
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  0.50278002 0.50278469 0.50280345 0.50276614 0.50275788 0.50277886
  0.50277125 0.5027865  0.50271966 0.50275154 0.502772   0.50278144
  0.50275741 0.50272028 0.502752   0.50277199 0.50275983 0.50271659
  0.50275752 0.50273933 0.50276674 0.50282497 0.50276005 0.5027214
  0.50275821 0.50275737 0.50275406 0.50275217 0.50275964 0.50277539
  0.50278858 0.50276659 0.50275075 0.5027762  0.50274563 0.50276984
  0.50272414 0.50273512 0.50267998 0.50282994 0.50280273 0.50275272
  0.50270545 0.50275597 0.50275856 0.50280274 0.50273986 0.50275762
  0.5027457  0.50275943 0.50279682 0.50276094 0.50275038 0.50272903
  0.50276393 0.50277658 0.50276302 0.50275314 0.50275642 0.50274791
  0.50271915 0.50275339 0.50272815 0.50275022 0.50274302 0.50279988
  0.50275681 0.50275456 0.50275664 0.50272991]], Activation Cache: [[0.01099297 0.01098906 0.01105717 0.01107568 0.01110052 0.01119383
  0.01087869 0.01119398 0.01106191 0.01107222 0.01108652 0.01116502
  0.01100409 0.01116094 0.0109535  0.0112482  0.01107359 0.01126091
  0.01095563 0.01098421 0.01113288 0.01105365 0.01088592 0.01084984
  0.01116657 0.01099271 0.01092105 0.01108963 0.0111838  0.01094691
  0.0111202  0.01113887 0.01121391 0.01106468 0.01103162 0.01111557
  0.01108512 0.01114611 0.01087875 0.01100629 0.0110881  0.01112589
  0.01102976 0.01088123 0.01100811 0.01108809 0.01103944 0.01086646
  0.0110302  0.01095745 0.01106707 0.0113     0.01104033 0.01088571
  0.01103295 0.01102957 0.01101636 0.01100879 0.01103868 0.01110166
  0.01115442 0.01106647 0.01100311 0.0111049  0.01098263 0.01107945
  0.01089667 0.01094059 0.01072003 0.01131988 0.01121104 0.01101101
  0.0108219  0.01102399 0.01103437 0.01121106 0.01095955 0.0110306
  0.01098292 0.01103781 0.0111874  0.01104387 0.01100161 0.01091624
  0.01105583 0.01110642 0.0110522  0.01101267 0.01102577 0.01099174
  0.01087669 0.01101368 0.0109127  0.01100099 0.01097219 0.01119964
  0.01102733 0.01101837 0.01102665 0.01091975]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01779493,  0.00426716],
       [ 0.00102649, -0.018569  ],
       [-0.00271259, -0.00348189],
       [-0.00070852, -0.00614257],
       [-0.0004347 , -0.00476845]]), 'b1': array([[-3.87450673e-05],
       [ 2.60864036e-05],
       [ 2.59907880e-05],
       [ 5.04164862e-05],
       [ 1.47553187e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653322,  0.00653323, -0.00660564, -0.0066057 , -0.00660578,
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       [-5.57192890e-04, -5.97244842e-04],
       [-1.08083891e-03, -1.15851629e-03],
       [-3.16327435e-05, -3.39063185e-05]]), 'db1': array([[ 3.52227923e-04],
       [-2.37149069e-04],
       [-2.36279730e-04],
       [-4.58331504e-04],
       [-1.34139143e-05]]), 'dA0': array([[ 3.24351327e-05,  3.24403491e-05, -3.27996015e-05,
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         4.45547314e-05]])}
Parameters: {'W1': array([[ 0.01779493,  0.00426716],
       [ 0.00102649, -0.018569  ],
       [-0.00271259, -0.00348189],
       [-0.00070852, -0.00614257],
       [-0.0004347 , -0.00476845]]), 'b1': array([[-3.87450673e-05],
       [ 2.60864036e-05],
       [ 2.59907880e-05],
       [ 5.04164862e-05],
       [ 1.47553187e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.01779493  0.00426716]
 [ 0.00102649 -0.018569  ]
 [-0.00271259 -0.00348189]
 [-0.00070852 -0.00614257]
 [-0.0004347  -0.00476845]]
Grads dA1: [[ 6.53321595e-05  6.53322878e-05 -6.60564247e-05 -6.60570326e-05
  -6.60578484e-05 -6.60609131e-05  6.53359129e-05 -6.60609183e-05
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Shape of A_prev: (5, 100)
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Sigmoid: [[0.50274825 0.50274727 0.50276427 0.50276889 0.5027751  0.50279839
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01778662,  0.00425826],
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Grads: {'dA1': array([[ 0.00653322,  0.00653323, -0.00660564, -0.0066057 , -0.00660578,
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Parameters: {'W1': array([[ 0.01778662,  0.00425826],
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Param W1: [[ 0.01778662  0.00425826]
 [ 0.00103209 -0.018563  ]
 [-0.00270702 -0.00347592]
 [-0.00069771 -0.00613098]
 [-0.00043439 -0.00476811]]
Grads dA1: [[ 6.53321544e-05  6.53322841e-05 -6.60564258e-05 -6.60570326e-05
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 [-4.39880024e-05 -4.39880898e-05  4.44756528e-05  4.44760614e-05
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Linear Cache: (array([[0.50673268, 0.4985704 , 0.49806971, 0.49585034, 0.50267173,
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Sigmoid: [[0.50274829 0.50274729 0.50276428 0.50276889 0.50277511 0.50279834
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  0.01102748 0.01101855 0.01102679 0.01092019]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01777832,  0.00424936],
       [ 0.00103768, -0.01855701],
       [-0.00270145, -0.00346995],
       [-0.00068691, -0.0061194 ],
       [-0.00043407, -0.00476777]]), 'b1': array([[-4.57896258e-05],
       [ 3.08293849e-05],
       [ 3.07163823e-05],
       [ 5.95831159e-05],
       [ 1.74381014e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653321,  0.00653323, -0.00660564, -0.0066057 , -0.00660578,
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  0.49831869 0.4994331  0.4963016  0.5031477  0.50124794 0.49872478
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  0.49804162 0.49942055 0.49717118 0.49842748 0.49893812 0.50248797
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Linear Cache: (array([[0.50672942, 0.49856806, 0.49806902, 0.49585036, 0.50267149,
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Sigmoid: [[0.50274833 0.50274732 0.50276429 0.50276889 0.50277511 0.5027983
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  0.01102755 0.01101864 0.01102685 0.01092041]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01777001,  0.00424046],
       [ 0.00104327, -0.01855101],
       [-0.00269588, -0.00346398],
       [-0.0006761 , -0.00610781],
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       [ 3.32008754e-05],
       [ 3.30791791e-05],
       [ 6.41664303e-05],
       [ 1.87794924e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653321,  0.00653323, -0.00660564, -0.0066057 , -0.00660578,
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Param W1: [[ 0.01777001  0.00424046]
 [ 0.00104327 -0.01855101]
 [-0.00269588 -0.00346398]
 [-0.0006761  -0.00610781]
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Shape of A_prev: (2, 100)
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Sigmoid: [[0.50274837 0.50274735 0.5027643  0.50276889 0.50277511 0.50279826
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  0.01115407 0.01106671 0.01100359 0.01110482 0.01098319 0.01107952
  0.01089769 0.01094144 0.01072198 0.0113187  0.01121037 0.01101135
  0.0108232  0.01102439 0.01103467 0.01121034 0.01096015 0.01103097
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  0.01105603 0.01110638 0.01105234 0.01101308 0.01102611 0.01099232
  0.01087781 0.01101408 0.01091352 0.01100137 0.0109728  0.01119915
  0.01102762 0.01101873 0.01102692 0.01092063]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01776171,  0.00423155],
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       [-0.00066529, -0.00609623],
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       [ 6.87497444e-05],
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Parameters: {'W1': array([[ 0.01776171,  0.00423155],
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Param W1: [[ 0.01776171  0.00423155]
 [ 0.00104886 -0.01854502]
 [-0.0026903  -0.003458  ]
 [-0.00066529 -0.00609623]
 [-0.00043344 -0.00476709]]
Grads dA1: [[ 6.53321392e-05  6.53322732e-05 -6.60564290e-05 -6.60570325e-05
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Sigmoid: [[0.50274841 0.50274738 0.50276431 0.50276889 0.50277512 0.50279822
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.0177534 ,  0.00422265],
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Param W1: [[ 0.0177534   0.00422265]
 [ 0.00105446 -0.01853903]
 [-0.00268473 -0.00345203]
 [-0.00065448 -0.00608464]
 [-0.00043312 -0.00476676]]
Grads dA1: [[ 6.53321342e-05  6.53322696e-05 -6.60564300e-05 -6.60570324e-05
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b1: [[-5.63564641e-05]
 [ 3.79438561e-05]
 [ 3.78047718e-05]
 [ 7.33330581e-05]
 [ 2.14622739e-06]]
learning_rate * b1: [[ 3.52227953e-06]
 [-2.37149022e-06]
 [-2.36279594e-06]
 [-4.58331341e-06]
 [-1.34139045e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.0177451 ,  0.00421375],
       [ 0.00106005, -0.01853303],
       [-0.00267916, -0.00344606],
       [-0.00064367, -0.00607306],
       [-0.0004328 , -0.00476642]]), 'b1': array([[-5.98787436e-05],
       [ 4.03153464e-05],
       [ 4.01675677e-05],
       [ 7.79163715e-05],
       [ 2.28036644e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.0177451   0.00421375]
 [ 0.00106005 -0.01853303]
 [-0.00267916 -0.00344606]
 [-0.00064367 -0.00607306]
 [-0.0004328  -0.00476642]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Parameters: {'W1': array([[ 0.0177451 ,  0.00421375],
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       [-0.00064367, -0.00607306],
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       [ 4.01675677e-05],
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Param W1: [[ 0.0177451   0.00421375]
 [ 0.00106005 -0.01853303]
 [-0.00267916 -0.00344606]
 [-0.00064367 -0.00607306]
 [-0.0004328  -0.00476642]]
Grads dA1: [[ 6.53321291e-05  6.53322660e-05 -6.60564311e-05 -6.60570324e-05
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  -2.48788827e-06 -2.48789935e-06 -2.48788916e-06 -2.48802172e-06]]
b1: [[-5.98787436e-05]
 [ 4.03153464e-05]
 [ 4.01675677e-05]
 [ 7.79163715e-05]
 [ 2.28036644e-06]]
learning_rate * b1: [[ 3.52227959e-06]
 [-2.37149012e-06]
 [-2.36279567e-06]
 [-4.58331308e-06]
 [-1.34139025e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01773679,  0.00420484],
       [ 0.00106564, -0.01852704],
       [-0.00267359, -0.00344009],
       [-0.00063286, -0.00606147],
       [-0.00043249, -0.00476608]]), 'b1': array([[-6.34010232e-05],
       [ 4.26868365e-05],
       [ 4.25303634e-05],
       [ 8.24996846e-05],
       [ 2.41450546e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01773679  0.00420484]
 [ 0.00106564 -0.01852704]
 [-0.00267359 -0.00344009]
 [-0.00063286 -0.00606147]
 [-0.00043249 -0.00476608]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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   2.52832571 -0.24863478  0.04366899 -0.22631424  1.33145711 -0.28730786
   0.68006984 -0.3198016  -1.27255876  0.31354772  0.50318481  1.29322588
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   0.60231928  0.4202822   0.81095167  1.04444209]], Bias: [[-6.34010232e-05]
 [ 4.26868365e-05]
 [ 4.25303634e-05]
 [ 8.24996846e-05]
 [ 2.41450546e-06]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01773679,  0.00420484],
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Parameters: {'W1': array([[ 0.01773679,  0.00420484],
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Param W1: [[ 0.01773679  0.00420484]
 [ 0.00106564 -0.01852704]
 [-0.00267359 -0.00344009]
 [-0.00063286 -0.00606147]
 [-0.00043249 -0.00476608]]
Grads dA1: [[ 6.53321241e-05  6.53322624e-05 -6.60564321e-05 -6.60570324e-05
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Shape of A_prev: (5, 100)
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Sigmoid: [[0.50274852 0.50274746 0.50276433 0.50276889 0.50277512 0.50279809
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01772849,  0.00419594],
       [ 0.00107123, -0.01852105],
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 [ 0.00107123 -0.01852105]
 [-0.00266802 -0.00343411]
 [-0.00062206 -0.00604989]
 [-0.00043217 -0.00476574]]
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  0.49821936 0.4995719  0.49862925 0.49948475 0.4991651  0.5013551
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  0.4980881  0.49943685 0.49720507 0.4984433  0.49896332 0.50246782
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  0.49848887 0.49954049 0.49777209 0.49874598 0.49916979 0.50193116
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Linear Cache: (array([[0.50670987, 0.49855405, 0.49806493, 0.49585052, 0.50267005,
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Sigmoid: [[0.50274856 0.50274749 0.50276434 0.50276889 0.50277513 0.50279805
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  0.5027577  0.50273973 0.50276683 0.50282441 0.50276014 0.50272194
  0.50275836 0.50275756 0.50275431 0.50275244 0.5027598  0.50277541
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  0.01087922 0.01101457 0.01091454 0.01100185 0.01097356 0.01119854
  0.01102797 0.01101918 0.01102725 0.01092173]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01772018,  0.00418704],
       [ 0.00107683, -0.01851505],
       [-0.00266244, -0.00342814],
       [-0.00061125, -0.0060383 ],
       [-0.00043186, -0.0047654 ]]), 'b1': array([[-7.04455825e-05],
       [ 4.74298165e-05],
       [ 4.72559539e-05],
       [ 9.16663098e-05],
       [ 2.68278346e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653321,  0.00653323, -0.00660564, -0.0066057 , -0.00660579,
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  0.5009164  0.50133819 0.49957221 0.50051575 0.49920461 0.50029863
  0.49836811 0.4994742  0.49639537 0.50309086 0.50121553 0.49874154
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  0.5001607  0.50093636 0.49927684 0.49960467 0.4995829  0.49996467
  0.49809584 0.49943956 0.49721071 0.49844594 0.49896752 0.50246446
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Linear Cache: (array([[0.50670662, 0.49855171, 0.49806425, 0.49585054, 0.50266981,
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Sigmoid: [[0.5027486  0.50274751 0.50276435 0.50276889 0.50277513 0.50279801
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  0.01115355 0.01106707 0.0110043  0.01110471 0.01098404 0.01107961
  0.01089923 0.01094272 0.0107249  0.01131693 0.01120936 0.01101187
  0.01082514 0.011025   0.01103514 0.01120925 0.01096106 0.01103152
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  0.01105632 0.01110631 0.01105255 0.01101371 0.0110266  0.01099318
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  0.01102805 0.01101927 0.01102732 0.01092195]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01771188,  0.00417813],
       [ 0.00108242, -0.01850906],
       [-0.00265687, -0.00342217],
       [-0.00060044, -0.00602672],
       [-0.00043154, -0.00476506]]), 'b1': array([[-7.39678623e-05],
       [ 4.98013063e-05],
       [ 4.96187488e-05],
       [ 9.62496218e-05],
       [ 2.81692242e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653321,  0.00653323, -0.00660564, -0.0066057 , -0.00660579,
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 [ 0.00108242 -0.01850906]
 [-0.00265687 -0.00342217]
 [-0.00060044 -0.00602672]
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Sigmoid: [[0.50274864 0.50274754 0.50276435 0.50276889 0.50277513 0.50279797
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01770357,  0.00416923],
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Parameters: {'W1': array([[ 0.01770357,  0.00416923],
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Param W1: [[ 0.01770357  0.00416923]
 [ 0.00108801 -0.01850306]
 [-0.0026513  -0.0034162 ]
 [-0.00058963 -0.00601513]
 [-0.00043122 -0.00476472]]
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01769527,  0.00416033],
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Parameters: {'W1': array([[ 0.01769527,  0.00416033],
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Param W1: [[ 0.01769527  0.00416033]
 [ 0.0010936  -0.01849707]
 [-0.00264573 -0.00341022]
 [-0.00057882 -0.00600355]
 [-0.00043091 -0.00476438]]
Grads dA1: [[ 6.53320988e-05  6.53322442e-05 -6.60564374e-05 -6.60570322e-05
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b1: [[-8.10124219e-05]
 [ 5.45442857e-05]
 [ 5.43443377e-05]
 [ 1.05416245e-04]
 [ 3.08520030e-06]]
learning_rate * b1: [[ 3.52227991e-06]
 [-2.37148955e-06]
 [-2.36279404e-06]
 [-4.58331106e-06]
 [-1.34138907e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01768696,  0.00415142],
       [ 0.0010992 , -0.01849108],
       [-0.00264016, -0.00340425],
       [-0.00056801, -0.00599196],
       [-0.00043059, -0.00476404]]), 'b1': array([[-8.45347018e-05],
       [ 5.69157752e-05],
       [ 5.67071317e-05],
       [ 1.09999556e-04],
       [ 3.21933920e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01768696  0.00415142]
 [ 0.0010992  -0.01849108]
 [-0.00264016 -0.00340425]
 [-0.00056801 -0.00599196]
 [-0.00043059 -0.00476404]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
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   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
   0.19829972  0.11900865 -0.67066229  0.37756379  0.12182127  1.12948391
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Parameters: {'W1': array([[ 0.01768696,  0.00415142],
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       [-0.00056801, -0.00599196],
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       [ 5.67071317e-05],
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Param W1: [[ 0.01768696  0.00415142]
 [ 0.0010992  -0.01849108]
 [-0.00264016 -0.00340425]
 [-0.00056801 -0.00599196]
 [-0.00043059 -0.00476404]]
Grads dA1: [[ 6.53320937e-05  6.53322406e-05 -6.60564385e-05 -6.60570321e-05
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b1: [[-8.45347018e-05]
 [ 5.69157752e-05]
 [ 5.67071317e-05]
 [ 1.09999556e-04]
 [ 3.21933920e-06]]
learning_rate * b1: [[ 3.52227997e-06]
 [-2.37148946e-06]
 [-2.36279376e-06]
 [-4.58331072e-06]
 [-1.34138888e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01767866,  0.00414252],
       [ 0.00110479, -0.01848508],
       [-0.00263458, -0.00339828],
       [-0.00055721, -0.00598038],
       [-0.00043027, -0.0047637 ]]), 'b1': array([[-8.80569818e-05],
       [ 5.92872647e-05],
       [ 5.90699255e-05],
       [ 1.14582867e-04],
       [ 3.35347809e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01767866  0.00414252]
 [ 0.00110479 -0.01848508]
 [-0.00263458 -0.00339828]
 [-0.00055721 -0.00598038]
 [-0.00043027 -0.0047637 ]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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  -0.34385368  0.04359686 -0.62000084  0.69803203]
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 [ 5.92872647e-05]
 [ 5.90699255e-05]
 [ 1.14582867e-04]
 [ 3.35347809e-06]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01767866,  0.00414252],
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Parameters: {'W1': array([[ 0.01767866,  0.00414252],
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Param W1: [[ 0.01767866  0.00414252]
 [ 0.00110479 -0.01848508]
 [-0.00263458 -0.00339828]
 [-0.00055721 -0.00598038]
 [-0.00043027 -0.0047637 ]]
Grads dA1: [[ 6.53320887e-05  6.53322370e-05 -6.60564395e-05 -6.60570321e-05
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Shape of A_prev: (5, 100)
Weight W2: [[-0.01313865  0.00884622  0.00881318  0.01709573  0.00050034]], A_prev: [[0.50669033 0.49854003 0.49806084 0.49585067 0.50266861 0.48998624
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Linear Cache: (array([[0.50669033, 0.49854003, 0.49806084, 0.49585067, 0.50266861,
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Sigmoid: [[0.50274879 0.50274765 0.50276439 0.50276889 0.50277514 0.5027978
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  0.0110284  0.01101972 0.01102765 0.01092305]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01767035,  0.00413362],
       [ 0.00111038, -0.01847909],
       [-0.00262901, -0.00339231],
       [-0.0005464 , -0.00596879],
       [-0.00042996, -0.00476336]]), 'b1': array([[-9.15792618e-05],
       [ 6.16587541e-05],
       [ 6.14327190e-05],
       [ 1.19166177e-04],
       [ 3.48761696e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653321,  0.00653322, -0.00660564, -0.0066057 , -0.00660579,
        -0.00660608,  0.00653358, -0.00660609,  0.00653299, -0.00660569,
         0.00653291, -0.00660599,  0.00653317, -0.00660598,  0.00653334,
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 [ 0.00111038 -0.01847909]
 [-0.00262901 -0.00339231]
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Linear Cache: (array([[0.50668707, 0.4985377 , 0.49806016, 0.4958507 , 0.50266837,
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Sigmoid: [[0.50274883 0.50274768 0.50276439 0.50276889 0.50277515 0.50279776
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01766205,  0.00412472],
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       [-0.00262344, -0.00338633],
       [-0.00053559, -0.00595721],
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       [ 6.40302433e-05],
       [ 6.37955122e-05],
       [ 1.23749487e-04],
       [ 3.62175581e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653321,  0.00653322, -0.00660564, -0.0066057 , -0.00660579,
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Sigmoid: [[0.50274887 0.50274771 0.5027644  0.50276889 0.50277515 0.50279772
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01765374,  0.00411581],
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Sigmoid: [[0.50274891 0.50274773 0.50276441 0.50276889 0.50277515 0.50279768
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01764544,  0.00410691],
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       [-5.59258118e-04, -5.99375975e-04],
       [-5.57192350e-04, -5.97244198e-04],
       [-1.08083825e-03, -1.15851648e-03],
       [-3.16326943e-05, -3.39062590e-05]]), 'db1': array([[ 3.52228021e-04],
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        -3.19114832e-05,  3.15584425e-05,  3.15609125e-05,
        -3.19121548e-05,  3.15611580e-05, -3.19120401e-05,
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        -4.40948349e-05, -4.40986111e-05,  4.36117673e-05,
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        -4.40982575e-05,  4.36111567e-05,  4.36124480e-05,
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         4.36123754e-05, -4.40976510e-05, -4.40964065e-05,
         4.36131593e-05,  4.36129125e-05,  4.36131041e-05,
         4.36128884e-05,  4.36130522e-05,  4.36086804e-05,
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         4.36123132e-05,  4.36128983e-05,  4.36116553e-05,
         4.36129977e-05]])}
Parameters: {'W1': array([[ 0.01764544,  0.00410691],
       [ 0.00112716, -0.01846111],
       [-0.0026123 , -0.00337439],
       [-0.00051397, -0.00593404],
       [-0.00042901, -0.00476235]]), 'b1': array([[-1.02146102e-04],
       [ 6.87732216e-05],
       [ 6.85210978e-05],
       [ 1.32916106e-04],
       [ 3.89003344e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.01764544  0.00410691]
 [ 0.00112716 -0.01846111]
 [-0.0026123  -0.00337439]
 [-0.00051397 -0.00593404]
 [-0.00042901 -0.00476235]]
Grads dA1: [[ 6.53320684e-05  6.53322225e-05 -6.60564438e-05 -6.60570319e-05
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  -6.60569760e-05 -6.60629898e-05  6.53332889e-05  6.53323633e-05
  -6.60588705e-05  6.53301236e-05  6.53355193e-05  6.53366845e-05
  -6.60599793e-05  6.53321060e-05  6.53344030e-05 -6.60574821e-05
  -6.60605184e-05  6.53335631e-05 -6.60584682e-05 -6.60590720e-05
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  -6.60573347e-05 -6.60593130e-05  6.53357404e-05  6.53316514e-05
  -6.60574425e-05 -6.60586487e-05  6.53309157e-05  6.53356602e-05
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   6.53408366e-05 -6.60648791e-05 -6.60613792e-05  6.53315156e-05
   6.53375871e-05  6.53310806e-05  6.53307541e-05 -6.60613725e-05
   6.53331676e-05  6.53308687e-05  6.53324092e-05  6.53306376e-05
  -6.60606346e-05  6.53304550e-05  6.53318088e-05  6.53345507e-05
   6.53300655e-05 -6.60580355e-05 -6.60562820e-05  6.53314510e-05
   6.53310328e-05  6.53321143e-05  6.53358124e-05  6.53314208e-05
   6.53346747e-05  6.53318394e-05  6.53327518e-05 -6.60610321e-05
   6.53309886e-05  6.53312720e-05  6.53310139e-05  6.53344344e-05]
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  -4.39872175e-05 -4.39874083e-05 -4.39872345e-05 -4.39895375e-05]
 [-4.38236359e-05 -4.38237393e-05  4.43095346e-05  4.43099291e-05
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   4.43098916e-05  4.43139255e-05 -4.38244546e-05 -4.38238338e-05
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   4.43122678e-05 -4.38246386e-05  4.43108925e-05  4.43112975e-05
   4.43129136e-05  4.43096938e-05 -4.38228219e-05  4.43107983e-05
   4.43101322e-05  4.43114592e-05 -4.38260990e-05 -4.38233562e-05
   4.43102045e-05  4.43110136e-05 -4.38228628e-05 -4.38260453e-05
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  -4.38228459e-05 -4.38244106e-05  4.43097552e-05  4.43147730e-05
   4.43091660e-05 -4.38259659e-05 -4.38227893e-05 -4.38228554e-05
  -4.38231381e-05 -4.38233006e-05 -4.38226616e-05  4.43105061e-05
   4.43116299e-05 -4.38220539e-05 -4.38234266e-05  4.43105658e-05
  -4.38238687e-05  4.43100190e-05 -4.38257170e-05 -4.38247664e-05
  -4.38295175e-05  4.43151928e-05  4.43128452e-05 -4.38232651e-05
  -4.38273378e-05 -4.38229733e-05 -4.38227543e-05  4.43128406e-05
  -4.38243732e-05 -4.38228312e-05 -4.38238645e-05 -4.38226762e-05
   4.43123457e-05 -4.38225537e-05 -4.38234618e-05 -4.38253010e-05
  -4.38222924e-05  4.43106023e-05  4.43094261e-05 -4.38232218e-05
  -4.38229413e-05 -4.38236667e-05 -4.38261473e-05 -4.38232015e-05
  -4.38253842e-05 -4.38234823e-05 -4.38240943e-05  4.43126123e-05
  -4.38229116e-05 -4.38231017e-05 -4.38229286e-05 -4.38252230e-05]
 [-8.50087074e-05 -8.50089078e-05  8.59512493e-05  8.59520146e-05
   8.59530857e-05  8.59569367e-05 -8.50134860e-05  8.59569688e-05
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  -8.50082745e-05  8.59555927e-05 -8.50103668e-05  8.59592316e-05
   8.59519418e-05  8.59597668e-05 -8.50102954e-05 -8.50090911e-05
   8.59544069e-05 -8.50061769e-05 -8.50131976e-05 -8.50147138e-05
   8.59558496e-05 -8.50087563e-05 -8.50117451e-05  8.59526004e-05
   8.59565511e-05 -8.50106523e-05  8.59538835e-05  8.59546691e-05
   8.59578039e-05  8.59515581e-05 -8.50071283e-05  8.59537007e-05
   8.59524085e-05  8.59549827e-05 -8.50134852e-05 -8.50081648e-05
   8.59525488e-05  8.59541182e-05 -8.50072075e-05 -8.50133810e-05
  -8.50080999e-05  8.59525408e-05 -8.50067869e-05 -8.50139920e-05
  -8.50071748e-05 -8.50102101e-05  8.59516772e-05  8.59614109e-05
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  -8.50091588e-05  8.59521889e-05 -8.50127442e-05 -8.50109003e-05
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  -8.50101376e-05 -8.50071464e-05 -8.50091508e-05 -8.50068456e-05
   8.59567023e-05 -8.50066081e-05 -8.50083696e-05 -8.50119373e-05
  -8.50061012e-05  8.59533204e-05  8.59510388e-05 -8.50079040e-05
  -8.50073599e-05 -8.50087671e-05 -8.50135789e-05 -8.50078647e-05
  -8.50120986e-05 -8.50084094e-05 -8.50095966e-05  8.59572195e-05
  -8.50073024e-05 -8.50076710e-05 -8.50073353e-05 -8.50117859e-05]
 [-2.48792832e-06 -2.48793419e-06  2.51551346e-06  2.51553586e-06
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  -2.48784455e-06  2.51553201e-06 -2.48781386e-06  2.51564476e-06
  -2.48791566e-06  2.51564058e-06 -2.48797689e-06  2.51574707e-06
   2.51553373e-06  2.51576274e-06 -2.48797480e-06 -2.48793955e-06
   2.51560587e-06 -2.48785426e-06 -2.48805974e-06 -2.48810411e-06
   2.51564810e-06 -2.48792976e-06 -2.48801723e-06  2.51555300e-06
   2.51566863e-06 -2.48798524e-06  2.51559055e-06  2.51561355e-06
   2.51570529e-06  2.51552250e-06 -2.48788211e-06  2.51558520e-06
   2.51554739e-06  2.51562272e-06 -2.48806816e-06 -2.48791244e-06
   2.51555149e-06  2.51559742e-06 -2.48788443e-06 -2.48806510e-06
  -2.48791054e-06  2.51555126e-06 -2.48787212e-06 -2.48808299e-06
  -2.48788347e-06 -2.48797230e-06  2.51552598e-06  2.51581086e-06
   2.51549253e-06 -2.48806060e-06 -2.48788026e-06 -2.48788401e-06
  -2.48790006e-06 -2.48790928e-06 -2.48787301e-06  2.51556861e-06
   2.51563241e-06 -2.48783851e-06 -2.48791644e-06  2.51557200e-06
  -2.48794154e-06  2.51554096e-06 -2.48804647e-06 -2.48799250e-06
  -2.48826223e-06  2.51583469e-06  2.51570141e-06 -2.48790727e-06
  -2.48813848e-06 -2.48789071e-06 -2.48787827e-06  2.51570115e-06
  -2.48797018e-06 -2.48788264e-06 -2.48794130e-06 -2.48787384e-06
   2.51567305e-06 -2.48786688e-06 -2.48791844e-06 -2.48802285e-06
  -2.48785205e-06  2.51557407e-06  2.51550730e-06 -2.48790481e-06
  -2.48788889e-06 -2.48793007e-06 -2.48807090e-06 -2.48790366e-06
  -2.48802757e-06 -2.48791960e-06 -2.48795435e-06  2.51568819e-06
  -2.48788720e-06 -2.48789799e-06 -2.48788817e-06 -2.48801842e-06]]
b1: [[-1.02146102e-04]
 [ 6.87732216e-05]
 [ 6.85210978e-05]
 [ 1.32916106e-04]
 [ 3.89003344e-06]]
learning_rate * b1: [[ 3.52228021e-06]
 [-2.37148897e-06]
 [-2.36279240e-06]
 [-4.58330898e-06]
 [-1.34138789e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01763713,  0.00409801],
       [ 0.00113275, -0.01845511],
       [-0.00260672, -0.00336842],
       [-0.00050316, -0.00592245],
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01763713,  0.00409801],
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Param W1: [[ 0.01763713  0.00409801]
 [ 0.00113275 -0.01845511]
 [-0.00260672 -0.00336842]
 [-0.00050316 -0.00592245]
 [-0.00042869 -0.00476201]]
Grads dA1: [[ 6.53320634e-05  6.53322189e-05 -6.60564448e-05 -6.60570319e-05
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b1: [[-1.05668382e-04]
 [ 7.11447105e-05]
 [ 7.08838902e-05]
 [ 1.37499415e-04]
 [ 4.02417223e-06]]
learning_rate * b1: [[ 3.52228026e-06]
 [-2.37148888e-06]
 [-2.36279212e-06]
 [-4.58330863e-06]
 [-1.34138770e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01762883,  0.0040891 ],
       [ 0.00113834, -0.01844912],
       [-0.00260115, -0.00336244],
       [-0.00049235, -0.00591087],
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       [ 7.35161994e-05],
       [ 7.32466823e-05],
       [ 1.42082724e-04],
       [ 4.15831100e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01762883  0.0040891 ]
 [ 0.00113834 -0.01844912]
 [-0.00260115 -0.00336244]
 [-0.00049235 -0.00591087]
 [-0.00042838 -0.00476167]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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learning_rate * b1: [[ 3.52228031e-06]
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Shape of A_prev: (2, 100)
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Sigmoid: [[0.5027491  0.50274787 0.50276445 0.50276889 0.50277517 0.50279747
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01760391,  0.00406239],
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Parameters: {'W1': array([[ 0.01760391,  0.00406239],
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Param W1: [[ 0.01760391  0.00406239]
 [ 0.00115512 -0.01843114]
 [-0.00258444 -0.00334453]
 [-0.00045993 -0.00587611]
 [-0.00042743 -0.00476065]]
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Linear Cache: (array([[0.50666101, 0.49851901, 0.4980547 , 0.49585091, 0.50266644,
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Sigmoid: [[0.50274914 0.5027479  0.50276446 0.50276888 0.50277517 0.50279743
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01759561,  0.00405349],
       [ 0.00116072, -0.01842515],
       [-0.00257886, -0.00333855],
       [-0.00044912, -0.00586453],
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       [ 8.30021539e-05],
       [ 8.26978481e-05],
       [ 1.60415955e-04],
       [ 4.69486589e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01759561,  0.00405349],
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Param W1: [[ 0.01759561  0.00405349]
 [ 0.00116072 -0.01842515]
 [-0.00257886 -0.00333855]
 [-0.00044912 -0.00586453]
 [-0.00042711 -0.00476031]]
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Sigmoid: [[0.50274918 0.50274793 0.50276447 0.50276888 0.50277517 0.50279739
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  0.50275801 0.50274042 0.50276698 0.50282341 0.5027603  0.50272289
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  0.5027209  0.50275401 0.50272943 0.50275082 0.50274397 0.50279912
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  0.01088596 0.01119065 0.01106303 0.01107273 0.01108753 0.01116184
  0.01100656 0.01115878 0.01095824 0.01124309 0.0110741  0.01125555
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  0.01111907 0.01113735 0.01121003 0.01106509 0.0110331  0.01111494
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  0.01103125 0.01088839 0.01101067 0.01108793 0.01104116 0.01087428
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  0.01103464 0.01103179 0.0110191  0.01101181 0.01104047 0.01110192
  0.01115225 0.01106796 0.01100607 0.01110443 0.01098617 0.01107985
  0.01090308 0.01094592 0.0107322  0.01131251 0.01120684 0.01101318
  0.01082999 0.01102653 0.0110363  0.01120654 0.01096334 0.01103291
  0.01098632 0.01103988 0.01118455 0.01104524 0.01100443 0.01092169
  0.01105707 0.01110613 0.01105307 0.01101527 0.01102785 0.01099536
  0.01088372 0.01101615 0.01091783 0.01100338 0.010976   0.01119659
  0.01102911 0.01102062 0.01102831 0.01092525]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.0175873 ,  0.00404459],
       [ 0.00116631, -0.01841915],
       [-0.00257329, -0.00333258],
       [-0.00043831, -0.00585294],
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       [ 8.53736423e-05],
       [ 8.50606388e-05],
       [ 1.64999262e-04],
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Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.0175873 ,  0.00404459],
       [ 0.00116631, -0.01841915],
       [-0.00257329, -0.00333258],
       [-0.00043831, -0.00585294],
       [-0.00042679, -0.00475997]]), 'b1': array([[-1.26802065e-04],
       [ 8.53736423e-05],
       [ 8.50606388e-05],
       [ 1.64999262e-04],
       [ 4.82900456e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.0175873   0.00404459]
 [ 0.00116631 -0.01841915]
 [-0.00257329 -0.00333258]
 [-0.00043831 -0.00585294]
 [-0.00042679 -0.00475997]]
Grads dA1: [[ 6.53320330e-05  6.53321971e-05 -6.60564512e-05 -6.60570316e-05
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  -6.60573316e-05 -6.60593002e-05  6.53356739e-05  6.53316240e-05
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   6.53375127e-05  6.53310573e-05  6.53307364e-05 -6.60613309e-05
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  -6.60606083e-05  6.53304424e-05  6.53317829e-05  6.53345006e-05
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   6.53310137e-05  6.53320810e-05  6.53357477e-05  6.53313981e-05
   6.53346275e-05  6.53318174e-05  6.53327167e-05 -6.60610040e-05
   6.53309722e-05  6.53312512e-05  6.53309987e-05  6.53343838e-05]
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  -4.39872065e-05 -4.39873943e-05 -4.39872243e-05 -4.39895035e-05]
 [-4.38236122e-05 -4.38237223e-05  4.43095395e-05  4.43099289e-05
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  -4.38233975e-05  4.43117604e-05 -4.38244621e-05  4.43136180e-05
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   4.43118960e-05 -4.38236450e-05 -4.38251710e-05  4.43102288e-05
   4.43122507e-05 -4.38246101e-05  4.43108855e-05  4.43112882e-05
   4.43128896e-05  4.43096963e-05 -4.38228128e-05  4.43107944e-05
   4.43101301e-05  4.43114506e-05 -4.38260545e-05 -4.38233378e-05
   4.43102050e-05  4.43110049e-05 -4.38228535e-05 -4.38260010e-05
  -4.38233070e-05  4.43101994e-05 -4.38226353e-05 -4.38263120e-05
  -4.38228339e-05 -4.38243838e-05  4.43097611e-05  4.43147346e-05
   4.43091719e-05 -4.38259293e-05 -4.38227789e-05 -4.38228417e-05
  -4.38231212e-05 -4.38232820e-05 -4.38226505e-05  4.43105077e-05
   4.43116165e-05 -4.38220447e-05 -4.38234084e-05  4.43105629e-05
  -4.38238468e-05  4.43100214e-05 -4.38256775e-05 -4.38247336e-05
  -4.38294424e-05  4.43151473e-05  4.43128192e-05 -4.38232517e-05
  -4.38272879e-05 -4.38229577e-05 -4.38227424e-05  4.43128128e-05
  -4.38243499e-05 -4.38228169e-05 -4.38238436e-05 -4.38226634e-05
   4.43123281e-05 -4.38225452e-05 -4.38234444e-05 -4.38252674e-05
  -4.38222848e-05  4.43106005e-05  4.43094314e-05 -4.38232057e-05
  -4.38229285e-05 -4.38236444e-05 -4.38261039e-05 -4.38231863e-05
  -4.38253525e-05 -4.38234676e-05 -4.38240708e-05  4.43125935e-05
  -4.38229006e-05 -4.38230878e-05 -4.38229184e-05 -4.38251890e-05]
 [-8.50086613e-05 -8.50088748e-05  8.59512589e-05  8.59520142e-05
   8.59530891e-05  8.59568869e-05 -8.50133990e-05  8.59569289e-05
  -8.50058314e-05  8.59518894e-05 -8.50047843e-05  8.59556975e-05
  -8.50082449e-05  8.59555669e-05 -8.50103100e-05  8.59591704e-05
   8.59519480e-05  8.59597027e-05 -8.50102465e-05 -8.50090486e-05
   8.59543862e-05 -8.50061552e-05 -8.50131186e-05 -8.50146246e-05
   8.59558301e-05 -8.50087250e-05 -8.50116850e-05  8.59525960e-05
   8.59565180e-05 -8.50105971e-05  8.59538699e-05  8.59546509e-05
   8.59577574e-05  8.59515631e-05 -8.50071106e-05  8.59536932e-05
   8.59524045e-05  8.59549660e-05 -8.50133988e-05 -8.50081291e-05
   8.59525497e-05  8.59541014e-05 -8.50071897e-05 -8.50132952e-05
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  -8.50071515e-05 -8.50101581e-05  8.59516888e-05  8.59613363e-05
   8.59505459e-05 -8.50131561e-05 -8.50070449e-05 -8.50071667e-05
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   8.59552878e-05 -8.50056207e-05 -8.50082660e-05  8.59532440e-05
  -8.50091164e-05  8.59521937e-05 -8.50126675e-05 -8.50108365e-05
  -8.50199708e-05  8.59621369e-05  8.59576209e-05 -8.50079621e-05
  -8.50157914e-05 -8.50073917e-05 -8.50069741e-05  8.59576084e-05
  -8.50100922e-05 -8.50071186e-05 -8.50091101e-05 -8.50068209e-05
   8.59566681e-05 -8.50065917e-05 -8.50083358e-05 -8.50118721e-05
  -8.50060864e-05  8.59533169e-05  8.59510493e-05 -8.50078728e-05
  -8.50073350e-05 -8.50087238e-05 -8.50134948e-05 -8.50078351e-05
  -8.50120372e-05 -8.50083808e-05 -8.50095510e-05  8.59571830e-05
  -8.50072811e-05 -8.50076441e-05 -8.50073155e-05 -8.50117201e-05]
 [-2.48792698e-06 -2.48793322e-06  2.51551374e-06  2.51553585e-06
   2.51556731e-06  2.51567845e-06 -2.48806563e-06  2.51567968e-06
  -2.48784415e-06  2.51553219e-06 -2.48781351e-06  2.51564365e-06
  -2.48791479e-06  2.51563982e-06 -2.48797523e-06  2.51574528e-06
   2.51553391e-06  2.51576086e-06 -2.48797337e-06 -2.48793831e-06
   2.51560527e-06 -2.48785363e-06 -2.48805743e-06 -2.48810150e-06
   2.51564752e-06 -2.48792884e-06 -2.48801547e-06  2.51555287e-06
   2.51566766e-06 -2.48798363e-06  2.51559016e-06  2.51561301e-06
   2.51570393e-06  2.51552264e-06 -2.48788159e-06  2.51558498e-06
   2.51554727e-06  2.51562223e-06 -2.48806563e-06 -2.48791140e-06
   2.51555152e-06  2.51559693e-06 -2.48788391e-06 -2.48806259e-06
  -2.48790965e-06  2.51555120e-06 -2.48787152e-06 -2.48808025e-06
  -2.48788279e-06 -2.48797078e-06  2.51552632e-06  2.51580867e-06
   2.51549287e-06 -2.48805852e-06 -2.48787967e-06 -2.48788323e-06
  -2.48789910e-06 -2.48790823e-06 -2.48787238e-06  2.51556870e-06
   2.51563165e-06 -2.48783799e-06 -2.48791541e-06  2.51557184e-06
  -2.48794030e-06  2.51554110e-06 -2.48804422e-06 -2.48799064e-06
  -2.48825797e-06  2.51583210e-06  2.51569993e-06 -2.48790651e-06
  -2.48813565e-06 -2.48788982e-06 -2.48787760e-06  2.51569957e-06
  -2.48796885e-06 -2.48788183e-06 -2.48794011e-06 -2.48787311e-06
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  -2.48785162e-06  2.51557397e-06  2.51550761e-06 -2.48790390e-06
  -2.48788816e-06 -2.48792880e-06 -2.48806843e-06 -2.48790280e-06
  -2.48802578e-06 -2.48791876e-06 -2.48795301e-06  2.51568712e-06
  -2.48788658e-06 -2.48789720e-06 -2.48788759e-06 -2.48801650e-06]]
b1: [[-1.26802065e-04]
 [ 8.53736423e-05]
 [ 8.50606388e-05]
 [ 1.64999262e-04]
 [ 4.82900456e-06]]
learning_rate * b1: [[ 3.52228053e-06]
 [-2.37148829e-06]
 [-2.36279047e-06]
 [-4.58330647e-06]
 [-1.34138652e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.017579  ,  0.00403568],
       [ 0.0011719 , -0.01841316],
       [-0.00256772, -0.00332661],
       [-0.0004275 , -0.00584136],
       [-0.00042648, -0.00475963]]), 'b1': array([[-1.30324345e-04],
       [ 8.77451306e-05],
       [ 8.74234293e-05],
       [ 1.69582568e-04],
       [ 4.96314321e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.017579    0.00403568]
 [ 0.0011719  -0.01841316]
 [-0.00256772 -0.00332661]
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Parameters: {'W1': array([[ 0.017579  ,  0.00403568],
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       [-0.00256772, -0.00332661],
       [-0.0004275 , -0.00584136],
       [-0.00042648, -0.00475963]]), 'b1': array([[-1.30324345e-04],
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       [ 8.74234293e-05],
       [ 1.69582568e-04],
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Param W1: [[ 0.017579    0.00403568]
 [ 0.0011719  -0.01841316]
 [-0.00256772 -0.00332661]
 [-0.0004275  -0.00584136]
 [-0.00042648 -0.00475963]]
Grads dA1: [[ 6.53320279e-05  6.53321935e-05 -6.60564522e-05 -6.60570316e-05
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  -4.38228991e-05 -4.38230858e-05 -4.38229170e-05 -4.38251842e-05]
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b1: [[-1.30324345e-04]
 [ 8.77451306e-05]
 [ 8.74234293e-05]
 [ 1.69582568e-04]
 [ 4.96314321e-06]]
learning_rate * b1: [[ 3.52228057e-06]
 [-2.37148819e-06]
 [-2.36279019e-06]
 [-4.58330611e-06]
 [-1.34138632e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01757069,  0.00402678],
       [ 0.00117749, -0.01840716],
       [-0.00256215, -0.00332064],
       [-0.0004167 , -0.00582977],
       [-0.00042616, -0.0047593 ]]), 'b1': array([[-1.33846626e-04],
       [ 9.01166188e-05],
       [ 8.97862195e-05],
       [ 1.74165874e-04],
       [ 5.09728184e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01757069  0.00402678]
 [ 0.00117749 -0.01840716]
 [-0.00256215 -0.00332064]
 [-0.0004167  -0.00582977]
 [-0.00042616 -0.0047593 ]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
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   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
   0.19829972  0.11900865 -0.67066229  0.37756379  0.12182127  1.12948391
   1.19891788  0.18515642 -0.37528495 -0.63873041  0.42349435  0.07734007
  -0.34385368  0.04359686 -0.62000084  0.69803203]
 [-0.44712856  1.2245077   0.40349164  0.59357852 -1.09491185  0.16938243
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Sigmoid: [[0.50274925 0.50274798 0.50276448 0.50276888 0.50277518 0.5027973
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01757069,  0.00402678],
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Param W1: [[ 0.01757069  0.00402678]
 [ 0.00117749 -0.01840716]
 [-0.00256215 -0.00332064]
 [-0.0004167  -0.00582977]
 [-0.00042616 -0.0047593 ]]
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b1: [[-1.33846626e-04]
 [ 9.01166188e-05]
 [ 8.97862195e-05]
 [ 1.74165874e-04]
 [ 5.09728184e-06]]
learning_rate * b1: [[ 3.52228061e-06]
 [-2.37148809e-06]
 [-2.36278992e-06]
 [-4.58330574e-06]
 [-1.34138612e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01756239,  0.00401788],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01756239  0.00401788]
 [ 0.00118309 -0.01840117]
 [-0.00255658 -0.00331466]
 [-0.00040589 -0.00581819]
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Shape of A_prev: (5, 100)
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01756239,  0.00401788],
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Parameters: {'W1': array([[ 0.01756239,  0.00401788],
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Param W1: [[ 0.01756239  0.00401788]
 [ 0.00118309 -0.01840117]
 [-0.00255658 -0.00331466]
 [-0.00040589 -0.00581819]
 [-0.00042584 -0.00475896]]
Grads dA1: [[ 6.53320178e-05  6.53321862e-05 -6.60564544e-05 -6.60570315e-05
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Sigmoid: [[0.50274933 0.50274804 0.5027645  0.50276888 0.50277518 0.50279722
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01755408,  0.00400897],
       [ 0.00118868, -0.01839518],
       [-0.002551  , -0.00330869],
       [-0.00039508, -0.0058066 ],
       [-0.00042553, -0.00475862]]), 'b1': array([[-1.40891187e-04],
       [ 9.48595949e-05],
       [ 9.45117990e-05],
       [ 1.83332485e-04],
       [ 5.36555905e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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  0.49830322 0.49960131 0.4986904  0.4995133  0.49921056 0.50131874
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Linear Cache: (array([[0.50664147, 0.498505  , 0.49805061, 0.49585106, 0.502665  ,
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Sigmoid: [[0.50274937 0.50274807 0.50276451 0.50276888 0.50277519 0.50279718
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01754577,  0.00400007],
       [ 0.00119427, -0.01838918],
       [-0.00254543, -0.00330272],
       [-0.00038427, -0.00579502],
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       [ 9.72310827e-05],
       [ 9.68745884e-05],
       [ 1.87915790e-04],
       [ 5.49969762e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01754577,  0.00400007],
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Param W1: [[ 0.01754577  0.00400007]
 [ 0.00119427 -0.01838918]
 [-0.00254543 -0.00330272]
 [-0.00038427 -0.00579502]
 [-0.00042521 -0.00475828]]
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Linear Cache: (array([[0.50663821, 0.49850266, 0.49804993, 0.49585109, 0.50266476,
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Sigmoid: [[0.50274941 0.50274809 0.50276451 0.50276888 0.50277519 0.50279714
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01753747,  0.00399117],
       [ 0.00119986, -0.01838319],
       [-0.00253986, -0.00329675],
       [-0.00037346, -0.00578343],
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       [ 9.92373775e-05],
       [ 1.92499095e-04],
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Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01753747,  0.00399117],
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Param W1: [[ 0.01753747  0.00399117]
 [ 0.00119986 -0.01838319]
 [-0.00253986 -0.00329675]
 [-0.00037346 -0.00578343]
 [-0.0004249  -0.00475794]]
Grads dA1: [[ 6.53320027e-05  6.53321753e-05 -6.60564575e-05 -6.60570314e-05
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01752916,  0.00398227],
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b1: [[-1.51458029e-04]
 [ 1.01974058e-04]
 [ 1.01600166e-04]
 [ 1.97082399e-04]
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learning_rate * b1: [[ 3.52228080e-06]
 [-2.37148759e-06]
 [-2.36278853e-06]
 [-4.58330388e-06]
 [-1.34138514e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01752086,  0.00397336],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01752086  0.00397336]
 [ 0.00121105 -0.0183712 ]
 [-0.00252872 -0.0032848 ]
 [-0.00035185 -0.00576026]
 [-0.00042426 -0.00475726]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Param W1: [[ 0.01752086  0.00397336]
 [ 0.00121105 -0.0183712 ]
 [-0.00252872 -0.0032848 ]
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b1: [[-1.54980310e-04]
 [ 1.04345546e-04]
 [ 1.03962955e-04]
 [ 2.01665703e-04]
 [ 5.90211322e-06]]
learning_rate * b1: [[ 3.52228084e-06]
 [-2.37148749e-06]
 [-2.36278825e-06]
 [-4.58330351e-06]
 [-1.34138494e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01751255,  0.00396446],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01751255  0.00396446]
 [ 0.00121664 -0.01836521]
 [-0.00252315 -0.00327883]
 [-0.00034104 -0.00574867]
 [-0.00042395 -0.00475692]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Sigmoid: [[0.50274952 0.50274818 0.50276454 0.50276888 0.5027752  0.50279701
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  0.50272154 0.50275423 0.50272989 0.50275103 0.50274432 0.50279884
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  0.01090539 0.01094784 0.01073657 0.01130985 0.01120532 0.01101396
  0.0108329  0.01102744 0.01103699 0.01120492 0.0109647  0.01103375
  0.01098754 0.01104063 0.01118352 0.01104574 0.01100545 0.01092365
  0.01105751 0.01110603 0.01105339 0.0110162  0.0110286  0.01099666
  0.01088626 0.01101704 0.01091967 0.01100425 0.01097737 0.01119549
  0.01102976 0.01102143 0.0110289  0.01092723]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01751255,  0.00396446],
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       [-0.00034104, -0.00574867],
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Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01751255,  0.00396446],
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       [-0.00252315, -0.00327883],
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Param W1: [[ 0.01751255  0.00396446]
 [ 0.00121664 -0.01836521]
 [-0.00252315 -0.00327883]
 [-0.00034104 -0.00574867]
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learning_rate * b1: [[ 3.52228087e-06]
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Shape of A_prev: (2, 100)
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Shape of A_prev: (5, 100)
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01750425,  0.00395556],
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Grads: {'dA1': array([[ 0.0065332 ,  0.00653322, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01750425,  0.00395556],
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Param W1: [[ 0.01750425  0.00395556]
 [ 0.00122223 -0.01835921]
 [-0.00251757 -0.00327286]
 [-0.00033023 -0.00573709]
 [-0.00042363 -0.00475658]]
Grads dA1: [[ 6.53319824e-05  6.53321608e-05 -6.60564618e-05 -6.60570312e-05
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Sigmoid: [[0.5027496  0.50274823 0.50276456 0.50276888 0.5027752  0.50279693
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01749594,  0.00394665],
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Sigmoid: [[0.50274964 0.50274826 0.50276456 0.50276888 0.50277521 0.50279689
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01748764,  0.00393775],
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       [ 1.13414106e-04],
       [ 2.19998915e-04],
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Parameters: {'W1': array([[ 0.01748764,  0.00393775],
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Param W1: [[ 0.01748764  0.00393775]
 [ 0.00123342 -0.01834723]
 [-0.00250643 -0.00326091]
 [-0.00030861 -0.00571392]
 [-0.000423   -0.00475591]]
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Sigmoid: [[0.50274968 0.50274829 0.50276457 0.50276888 0.50277521 0.50279685
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01747933,  0.00392885],
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Parameters: {'W1': array([[ 0.01747933,  0.00392885],
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Param W1: [[ 0.01747933  0.00392885]
 [ 0.00123901 -0.01834123]
 [-0.00250086 -0.00325494]
 [-0.0002978  -0.00570233]
 [-0.00042268 -0.00475557]]
Grads dA1: [[ 6.53319672e-05  6.53321499e-05 -6.60564649e-05 -6.60570311e-05
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Shape of A_prev: (2, 100)
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01747103,  0.00391994],
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Parameters: {'W1': array([[ 0.01747103,  0.00391994],
       [ 0.0012446 , -0.01833524],
       [-0.00249529, -0.00324897],
       [-0.000287  , -0.00569075],
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       [ 1.18139680e-04],
       [ 2.29165518e-04],
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Param W1: [[ 0.01747103  0.00391994]
 [ 0.0012446  -0.01833524]
 [-0.00249529 -0.00324897]
 [-0.000287   -0.00569075]
 [-0.00042237 -0.00475523]]
Grads dA1: [[ 6.53319622e-05  6.53321463e-05 -6.60564660e-05 -6.60570311e-05
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b1: [[-1.76113995e-04]
 [ 1.18574469e-04]
 [ 1.18139680e-04]
 [ 2.29165518e-04]
 [ 6.70694389e-06]]
learning_rate * b1: [[ 3.52228104e-06]
 [-2.37148688e-06]
 [-2.36278658e-06]
 [-4.58330121e-06]
 [-1.34138376e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01746272,  0.00391104],
       [ 0.0012502 , -0.01832925],
       [-0.00248971, -0.003243  ],
       [-0.00027619, -0.00567916],
       [-0.00042205, -0.00475489]]), 'b1': array([[-1.79636277e-04],
       [ 1.20945956e-04],
       [ 1.20502467e-04],
       [ 2.33748820e-04],
       [ 6.84108227e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01746272  0.00391104]
 [ 0.0012502  -0.01832925]
 [-0.00248971 -0.003243  ]
 [-0.00027619 -0.00567916]
 [-0.00042205 -0.00475489]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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   0.90085595 -0.68372786 -0.12289023 -0.93576943 -0.26788808  0.53035547
  -0.69166075 -0.39675353 -0.6871727  -0.84520564 -0.67124613 -0.0126646
  -1.11731035  0.2344157   1.65980218  0.74204416 -0.19183555 -0.88762896
  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
   0.12015895  0.61720311  0.30017032 -0.35224985 -1.1425182  -0.34934272
  -0.20889423  0.58662319  0.83898341  0.93110208  0.28558733  0.88514116
  -0.75439794  1.25286816  0.51292982 -0.29809284  0.48851815 -0.07557171
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Parameters: {'W1': array([[ 0.01746272,  0.00391104],
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Param W1: [[ 0.01746272  0.00391104]
 [ 0.0012502  -0.01832925]
 [-0.00248971 -0.003243  ]
 [-0.00027619 -0.00567916]
 [-0.00042205 -0.00475489]]
Grads dA1: [[ 6.53319571e-05  6.53321427e-05 -6.60564671e-05 -6.60570310e-05
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  -2.48788524e-06 -2.48789551e-06 -2.48788635e-06 -2.48801237e-06]]
b1: [[-1.79636277e-04]
 [ 1.20945956e-04]
 [ 1.20502467e-04]
 [ 2.33748820e-04]
 [ 6.84108227e-06]]
learning_rate * b1: [[ 3.52228107e-06]
 [-2.37148677e-06]
 [-2.36278630e-06]
 [-4.58330082e-06]
 [-1.34138357e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01745442,  0.00390214],
       [ 0.00125579, -0.01832325],
       [-0.00248414, -0.00323702],
       [-0.00026538, -0.00566758],
       [-0.00042173, -0.00475455]]), 'b1': array([[-1.83158558e-04],
       [ 1.23317443e-04],
       [ 1.22865253e-04],
       [ 2.38332120e-04],
       [ 6.97522062e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01745442  0.00390214]
 [ 0.00125579 -0.01832325]
 [-0.00248414 -0.00323702]
 [-0.00026538 -0.00566758]
 [-0.00042173 -0.00475455]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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  -0.69166075 -0.39675353 -0.6871727  -0.84520564 -0.67124613 -0.0126646
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  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
   0.12015895  0.61720311  0.30017032 -0.35224985 -1.1425182  -0.34934272
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   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
   0.19829972  0.11900865 -0.67066229  0.37756379  0.12182127  1.12948391
   1.19891788  0.18515642 -0.37528495 -0.63873041  0.42349435  0.07734007
  -0.34385368  0.04359686 -0.62000084  0.69803203]
 [-0.44712856  1.2245077   0.40349164  0.59357852 -1.09491185  0.16938243
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  -1.85798186  1.23616403  1.62765075  0.3380117  -1.19926803  0.86334532
  -0.1809203  -0.60392063 -1.23005814  0.5505375   0.79280687 -0.62353073
   0.52057634 -1.14434139  0.80186103  0.0465673  -0.18656977 -0.10174587
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   0.98633519  0.2135339   2.19069973 -1.89636092 -0.64691669  0.90148689
   2.52832571 -0.24863478  0.04366899 -0.22631424  1.33145711 -0.28730786
   0.68006984 -0.3198016  -1.27255876  0.31354772  0.50318481  1.29322588
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   1.16033857  0.36949272  1.90465871  1.1110567   0.6590498  -1.62743834
   0.60231928  0.4202822   0.81095167  1.04444209]], Bias: [[-1.83158558e-04]
 [ 1.23317443e-04]
 [ 1.22865253e-04]
 [ 2.38332120e-04]
 [ 6.97522062e-06]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01745442,  0.00390214],
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Parameters: {'W1': array([[ 0.01745442,  0.00390214],
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Param W1: [[ 0.01745442  0.00390214]
 [ 0.00125579 -0.01832325]
 [-0.00248414 -0.00323702]
 [-0.00026538 -0.00566758]
 [-0.00042173 -0.00475455]]
Grads dA1: [[ 6.53319521e-05  6.53321391e-05 -6.60564681e-05 -6.60570310e-05
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Shape of A_prev: (5, 100)
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Sigmoid: [[0.50274983 0.5027484  0.5027646  0.50276888 0.50277522 0.50279668
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01744611,  0.00389323],
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       [-0.00247857, -0.00323105],
       [-0.00025457, -0.00565599],
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 [-0.00025457 -0.00565599]
 [-0.00042142 -0.00475421]]
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Linear Cache: (array([[0.50659912, 0.49847463, 0.49804174, 0.4958514 , 0.50266188,
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Sigmoid: [[0.50274987 0.50274842 0.50276461 0.50276888 0.50277522 0.50279664
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01743781,  0.00388433],
       [ 0.00126697, -0.01831126],
       [-0.002473  , -0.00322508],
       [-0.00024376, -0.00564441],
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       [ 1.28060416e-04],
       [ 1.27590825e-04],
       [ 2.47498721e-04],
       [ 7.24349728e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653319,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01743781,  0.00388433],
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Param W1: [[ 0.01743781  0.00388433]
 [ 0.00126697 -0.01831126]
 [-0.002473   -0.00322508]
 [-0.00024376 -0.00564441]
 [-0.0004211  -0.00475387]]
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  0.49835921 0.49953192 0.49740275 0.49853563 0.49911028 0.50235027
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Linear Cache: (array([[0.50659587, 0.49847229, 0.49804106, 0.49585143, 0.50266164,
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Sigmoid: [[0.50274991 0.50274845 0.50276462 0.50276888 0.50277523 0.5027966
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  0.01103047 0.01102233 0.01102956 0.01092943]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.0174295 ,  0.00387543],
       [ 0.00127257, -0.01830527],
       [-0.00246743, -0.00321911],
       [-0.00023295, -0.00563282],
       [-0.00042078, -0.00475353]]), 'b1': array([[-1.93725401e-04],
       [ 1.30431903e-04],
       [ 1.29953610e-04],
       [ 2.52082020e-04],
       [ 7.37763558e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653319,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.0174295 ,  0.00387543],
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Param W1: [[ 0.0174295   0.00387543]
 [ 0.00127257 -0.01830527]
 [-0.00246743 -0.00321911]
 [-0.00023295 -0.00563282]
 [-0.00042078 -0.00475353]]
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Sigmoid: [[0.50274995 0.50274848 0.50276463 0.50276888 0.50277523 0.50279655
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.0174212 ,  0.00386653],
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         0.00025157, -0.0002488 , -0.00024879, -0.00024879, -0.00024879,
         0.00025157, -0.00024879, -0.00024879, -0.0002488 , -0.00024879,
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         0.00025157, -0.00024879, -0.00024879, -0.00024879, -0.0002488 ]]), 'dW1': array([[ 8.30516165e-04,  8.90310460e-04],
       [-5.59257702e-04, -5.99376963e-04],
       [-5.57191515e-04, -5.97243202e-04],
       [-1.08083707e-03, -1.15851654e-03],
       [-3.16326205e-05, -3.39061697e-05]]), 'db1': array([[ 3.52228121e-04],
       [-2.37148626e-04],
       [-2.36278490e-04],
       [-4.58329885e-04],
       [-1.34138258e-05]]), 'dA0': array([[ 3.02389499e-05,  3.02438642e-05, -3.05788521e-05,
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        -3.05782406e-05,  3.02428655e-05, -3.05801054e-05,
        -3.05774654e-05, -3.05807119e-05,  3.02383294e-05,
         3.02424967e-05, -3.05795946e-05, -3.05783982e-05,
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        -3.05788853e-05,  3.02431317e-05,  3.02349713e-05,
         3.02432986e-05,  3.02431881e-05, -3.05793343e-05,
        -3.05816057e-05, -3.05773031e-05,  3.02459329e-05,
         3.02433050e-05,  3.02426930e-05,  3.02421686e-05,
         3.02419248e-05,  3.02430575e-05, -3.05792436e-05,
        -3.05789930e-05,  3.02406996e-05,  3.02430665e-05,
        -3.05796622e-05,  3.02433035e-05, -3.05795682e-05,
         3.02414543e-05,  3.02393819e-05,  3.02328722e-05,
        -3.05760519e-05, -3.05759052e-05,  3.02435172e-05,
         3.02459302e-05,  3.02420230e-05,  3.02430732e-05,
        -3.05719669e-05,  3.02445711e-05,  3.02421231e-05,
         3.02437780e-05,  3.02422491e-05, -3.05807384e-05,
         3.02431250e-05,  3.02436064e-05,  3.02441337e-05,
         3.02429240e-05, -3.05800328e-05, -3.05785632e-05,
         3.02432210e-05,  3.02433558e-05,  3.02412661e-05,
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       [ 4.21994122e-05,  4.21983344e-05, -4.26686634e-05,
        -4.26682429e-05, -4.26673880e-05, -4.26690918e-05,
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        -4.26702411e-05,  4.21970055e-05,  4.22006670e-05,
        -4.26698360e-05,  4.22007676e-05, -4.26694828e-05,
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        -4.26667068e-05, -4.26703209e-05,  4.21991851e-05,
         4.21930352e-05,  4.21999768e-05,  4.22002229e-05,
        -4.26699935e-05,  4.21985711e-05,  4.21998460e-05,
         4.22004686e-05,  4.21997164e-05, -4.26686725e-05,
         4.21999014e-05,  4.22004755e-05,  4.21995784e-05,
         4.21997983e-05, -4.26693673e-05, -4.26681974e-05,
         4.22005427e-05,  4.22003086e-05,  4.22004808e-05,
         4.22003266e-05,  4.22004399e-05,  4.21961475e-05,
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         4.21997276e-05,  4.22002922e-05,  4.21990856e-05,
         4.22003934e-05]])}
Parameters: {'W1': array([[ 0.0174212 ,  0.00386653],
       [ 0.00127816, -0.01829928],
       [-0.00246185, -0.00321313],
       [-0.00022215, -0.00562124],
       [-0.00042047, -0.00475319]]), 'b1': array([[-1.97247682e-04],
       [ 1.32803389e-04],
       [ 1.32316395e-04],
       [ 2.56665320e-04],
       [ 7.51177385e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.0174212   0.00386653]
 [ 0.00127816 -0.01829928]
 [-0.00246185 -0.00321313]
 [-0.00022215 -0.00562124]
 [-0.00042047 -0.00475319]]
Grads dA1: [[ 6.53319318e-05  6.53321246e-05 -6.60564724e-05 -6.60570308e-05
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  -6.60569943e-05 -6.60627995e-05  6.53331437e-05  6.53322375e-05
  -6.60588093e-05  6.53300594e-05  6.53352851e-05  6.53364203e-05
  -6.60599213e-05  6.53320133e-05  6.53342249e-05 -6.60574691e-05
  -6.60604201e-05  6.53333995e-05 -6.60584280e-05 -6.60590180e-05
  -6.60613435e-05 -6.60566958e-05  6.53308024e-05 -6.60583054e-05
  -6.60573229e-05 -6.60592635e-05  6.53354842e-05  6.53315456e-05
  -6.60574453e-05 -6.60585988e-05  6.53308628e-05  6.53354060e-05
   6.53315108e-05 -6.60574307e-05  6.53305317e-05  6.53358524e-05
   6.53308215e-05  6.53330690e-05 -6.60568068e-05 -6.60640324e-05
  -6.60559286e-05  6.53353314e-05  6.53307464e-05  6.53308261e-05
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  -6.60594905e-05  6.53296570e-05  6.53316516e-05 -6.60579644e-05
   6.53322897e-05 -6.60571799e-05  6.53349434e-05  6.53335646e-05
   6.53404051e-05 -6.60646175e-05 -6.60612301e-05  6.53314385e-05
   6.53373003e-05  6.53309906e-05  6.53306857e-05 -6.60612122e-05
   6.53330331e-05  6.53307865e-05  6.53322888e-05  6.53305642e-05
  -6.60605334e-05  6.53304063e-05  6.53317087e-05  6.53343574e-05
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   6.53309591e-05  6.53319859e-05  6.53355628e-05  6.53313332e-05
   6.53344927e-05  6.53317544e-05  6.53326165e-05 -6.60609239e-05
   6.53309254e-05  6.53311920e-05  6.53309553e-05  6.53342392e-05]
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   4.44763392e-05  4.44771159e-05 -4.39871328e-05 -4.39901917e-05
  -4.39875691e-05  4.44763294e-05 -4.39869099e-05 -4.39904923e-05
  -4.39871050e-05 -4.39886182e-05  4.44759093e-05  4.44807743e-05
   4.44753181e-05 -4.39901415e-05 -4.39870544e-05 -4.39871081e-05
  -4.39873794e-05 -4.39875359e-05 -4.39869238e-05  4.44766463e-05
   4.44777163e-05 -4.39863209e-05 -4.39876639e-05  4.44766888e-05
  -4.39880935e-05  4.44761606e-05 -4.39898803e-05 -4.39889519e-05
  -4.39935576e-05  4.44811683e-05  4.44788875e-05 -4.39875204e-05
  -4.39914672e-05 -4.39872188e-05 -4.39870135e-05  4.44788755e-05
  -4.39885940e-05 -4.39870814e-05 -4.39880929e-05 -4.39869317e-05
   4.44784185e-05 -4.39868255e-05 -4.39877023e-05 -4.39894857e-05
  -4.39865664e-05  4.44767297e-05  4.44755769e-05 -4.39874667e-05
  -4.39871976e-05 -4.39878890e-05 -4.39902973e-05 -4.39874495e-05
  -4.39895768e-05 -4.39877331e-05 -4.39883136e-05  4.44786814e-05
  -4.39871750e-05 -4.39873545e-05 -4.39871951e-05 -4.39894061e-05]
 [-4.38235443e-05 -4.38236736e-05  4.43095537e-05  4.43099283e-05
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  -4.38221335e-05  4.43098736e-05 -4.38215956e-05  4.43117716e-05
  -4.38233539e-05  4.43117222e-05 -4.38243785e-05  4.43135280e-05
   4.43099039e-05  4.43137979e-05 -4.38243572e-05 -4.38237494e-05
   4.43111213e-05 -4.38222883e-05 -4.38257936e-05 -4.38265551e-05
   4.43118672e-05 -4.38235990e-05 -4.38250825e-05  4.43102224e-05
   4.43122018e-05 -4.38245288e-05  4.43108656e-05  4.43112613e-05
   4.43128212e-05  4.43097036e-05 -4.38227867e-05  4.43107833e-05
   4.43101243e-05  4.43114260e-05 -4.38259272e-05 -4.38232852e-05
   4.43102064e-05  4.43109801e-05 -4.38228272e-05 -4.38258747e-05
  -4.38232619e-05  4.43101966e-05 -4.38226051e-05 -4.38261742e-05
  -4.38227995e-05 -4.38243071e-05  4.43097781e-05  4.43146249e-05
   4.43091890e-05 -4.38258247e-05 -4.38227491e-05 -4.38228026e-05
  -4.38230729e-05 -4.38232289e-05 -4.38226190e-05  4.43105123e-05
   4.43115782e-05 -4.38220184e-05 -4.38233564e-05  4.43105546e-05
  -4.38237844e-05  4.43100284e-05 -4.38255644e-05 -4.38246396e-05
  -4.38292280e-05  4.43150174e-05  4.43127451e-05 -4.38232134e-05
  -4.38271454e-05 -4.38229130e-05 -4.38227084e-05  4.43127332e-05
  -4.38242830e-05 -4.38227761e-05 -4.38237838e-05 -4.38226269e-05
   4.43122778e-05 -4.38225210e-05 -4.38233947e-05 -4.38251714e-05
  -4.38222630e-05  4.43105953e-05  4.43094469e-05 -4.38231599e-05
  -4.38228918e-05 -4.38235806e-05 -4.38259799e-05 -4.38231428e-05
  -4.38252621e-05 -4.38234253e-05 -4.38240036e-05  4.43125397e-05
  -4.38228693e-05 -4.38230481e-05 -4.38228893e-05 -4.38250921e-05]
 [-8.50085297e-05 -8.50087804e-05  8.59512865e-05  8.59520131e-05
   8.59530988e-05  8.59567446e-05 -8.50131505e-05  8.59568149e-05
  -8.50057930e-05  8.59519070e-05 -8.50047495e-05  8.59555886e-05
  -8.50081603e-05  8.59554929e-05 -8.50101478e-05  8.59589957e-05
   8.59519656e-05  8.59595193e-05 -8.50101065e-05 -8.50089274e-05
   8.59543272e-05 -8.50060933e-05 -8.50128928e-05 -8.50143700e-05
   8.59557741e-05 -8.50086356e-05 -8.50115133e-05  8.59525835e-05
   8.59564232e-05 -8.50104393e-05  8.59538312e-05  8.59545989e-05
   8.59576248e-05  8.59515772e-05 -8.50070600e-05  8.59536716e-05
   8.59523932e-05  8.59549183e-05 -8.50131519e-05 -8.50080271e-05
   8.59525524e-05  8.59540534e-05 -8.50071387e-05 -8.50130501e-05
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  -8.50070849e-05 -8.50100093e-05  8.59517216e-05  8.59611234e-05
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  -8.50076152e-05 -8.50079178e-05 -8.50067348e-05  8.59531458e-05
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  -8.50089953e-05  8.59522072e-05 -8.50124483e-05 -8.50106542e-05
  -8.50195549e-05  8.59618848e-05  8.59574771e-05 -8.50078878e-05
  -8.50155150e-05 -8.50073050e-05 -8.50069082e-05  8.59574539e-05
  -8.50099626e-05 -8.50070394e-05 -8.50089941e-05 -8.50067501e-05
   8.59565706e-05 -8.50065447e-05 -8.50082394e-05 -8.50116858e-05
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  -8.50072202e-05 -8.50075670e-05 -8.50072591e-05 -8.50115320e-05]
 [-2.48792312e-06 -2.48793046e-06  2.51551455e-06  2.51553581e-06
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  -2.48784303e-06  2.51553271e-06 -2.48781249e-06  2.51564046e-06
  -2.48791231e-06  2.51563766e-06 -2.48797048e-06  2.51574017e-06
   2.51553442e-06  2.51575550e-06 -2.48796927e-06 -2.48793476e-06
   2.51560354e-06 -2.48785182e-06 -2.48805082e-06 -2.48809405e-06
   2.51564589e-06 -2.48792622e-06 -2.48801045e-06  2.51555251e-06
   2.51566488e-06 -2.48797901e-06  2.51558902e-06  2.51561149e-06
   2.51570005e-06  2.51552306e-06 -2.48788011e-06  2.51558435e-06
   2.51554694e-06  2.51562084e-06 -2.48805840e-06 -2.48790841e-06
   2.51555160e-06  2.51559553e-06 -2.48788241e-06 -2.48805542e-06
  -2.48790709e-06  2.51555104e-06 -2.48786980e-06 -2.48807242e-06
  -2.48788084e-06 -2.48796643e-06  2.51552728e-06  2.51580244e-06
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  -2.48789636e-06 -2.48790521e-06 -2.48787059e-06  2.51556897e-06
   2.51562948e-06 -2.48783649e-06 -2.48791245e-06  2.51557137e-06
  -2.48793675e-06  2.51554149e-06 -2.48803781e-06 -2.48798530e-06
  -2.48824580e-06  2.51582473e-06  2.51569573e-06 -2.48790434e-06
  -2.48812756e-06 -2.48788728e-06 -2.48787567e-06  2.51569505e-06
  -2.48796506e-06 -2.48787951e-06 -2.48793672e-06 -2.48787104e-06
   2.51566920e-06 -2.48786503e-06 -2.48791463e-06 -2.48801549e-06
  -2.48785038e-06  2.51557368e-06  2.51550848e-06 -2.48790130e-06
  -2.48788608e-06 -2.48792518e-06 -2.48806140e-06 -2.48790033e-06
  -2.48802065e-06 -2.48791637e-06 -2.48794920e-06  2.51568407e-06
  -2.48788480e-06 -2.48789495e-06 -2.48788594e-06 -2.48801099e-06]]
b1: [[-1.97247682e-04]
 [ 1.32803389e-04]
 [ 1.32316395e-04]
 [ 2.56665320e-04]
 [ 7.51177385e-06]]
learning_rate * b1: [[ 3.52228121e-06]
 [-2.37148626e-06]
 [-2.36278490e-06]
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01741289,  0.00385762],
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Parameters: {'W1': array([[ 0.01741289,  0.00385762],
       [ 0.00128375, -0.01829328],
       [-0.00245628, -0.00320716],
       [-0.00021134, -0.00560965],
       [-0.00042015, -0.00475285]]), 'b1': array([[-2.00769963e-04],
       [ 1.35174875e-04],
       [ 1.34679180e-04],
       [ 2.61248619e-04],
       [ 7.64591211e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.01741289  0.00385762]
 [ 0.00128375 -0.01829328]
 [-0.00245628 -0.00320716]
 [-0.00021134 -0.00560965]
 [-0.00042015 -0.00475285]]
Grads dA1: [[ 6.53319268e-05  6.53321209e-05 -6.60564734e-05 -6.60570308e-05
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  -4.38228677e-05 -4.38230461e-05 -4.38228878e-05 -4.38250872e-05]
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b1: [[-2.00769963e-04]
 [ 1.35174875e-04]
 [ 1.34679180e-04]
 [ 2.61248619e-04]
 [ 7.64591211e-06]]
learning_rate * b1: [[ 3.52228124e-06]
 [-2.37148615e-06]
 [-2.36278462e-06]
 [-4.58329845e-06]
 [-1.34138239e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01740459,  0.00384872],
       [ 0.00128934, -0.01828729],
       [-0.00245071, -0.00320119],
       [-0.00020053, -0.00559807],
       [-0.00041983, -0.00475251]]), 'b1': array([[-2.04292245e-04],
       [ 1.37546361e-04],
       [ 1.37041965e-04],
       [ 2.65831917e-04],
       [ 7.78005035e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01740459  0.00384872]
 [ 0.00128934 -0.01828729]
 [-0.00245071 -0.00320119]
 [-0.00020053 -0.00559807]
 [-0.00041983 -0.00475251]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
   1.74481176 -0.7612069   0.3190391  -0.24937038  1.46210794 -2.06014071
  -0.3224172  -0.38405435  1.13376944 -1.09989127 -0.17242821 -0.87785842
   0.04221375  0.58281521 -1.10061918  1.14472371  0.90159072  0.50249434
   0.90085595 -0.68372786 -0.12289023 -0.93576943 -0.26788808  0.53035547
  -0.69166075 -0.39675353 -0.6871727  -0.84520564 -0.67124613 -0.0126646
  -1.11731035  0.2344157   1.65980218  0.74204416 -0.19183555 -0.88762896
  -0.74715829  1.6924546   0.05080775 -0.63699565  0.19091548  2.10025514
   0.12015895  0.61720311  0.30017032 -0.35224985 -1.1425182  -0.34934272
  -0.20889423  0.58662319  0.83898341  0.93110208  0.28558733  0.88514116
  -0.75439794  1.25286816  0.51292982 -0.29809284  0.48851815 -0.07557171
   1.13162939  1.51981682  2.18557541 -1.39649634 -1.44411381 -0.50446586
   0.16003707  0.87616892  0.31563495 -2.02220122 -0.30620401  0.82797464
   0.23009474  0.76201118 -0.22232814 -0.20075807  0.18656139  0.41005165
   0.19829972  0.11900865 -0.67066229  0.37756379  0.12182127  1.12948391
   1.19891788  0.18515642 -0.37528495 -0.63873041  0.42349435  0.07734007
  -0.34385368  0.04359686 -0.62000084  0.69803203]
 [-0.44712856  1.2245077   0.40349164  0.59357852 -1.09491185  0.16938243
   0.74055645 -0.9537006  -0.26621851  0.03261455 -1.37311732  0.31515939
   0.84616065 -0.85951594  0.35054598 -1.31228341 -0.03869551 -1.61577235
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Parameters: {'W1': array([[ 0.01740459,  0.00384872],
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       [-0.00245071, -0.00320119],
       [-0.00020053, -0.00559807],
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       [ 1.37041965e-04],
       [ 2.65831917e-04],
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Param W1: [[ 0.01740459  0.00384872]
 [ 0.00128934 -0.01828729]
 [-0.00245071 -0.00320119]
 [-0.00020053 -0.00559807]
 [-0.00041983 -0.00475251]]
Grads dA1: [[ 6.53319217e-05  6.53321173e-05 -6.60564745e-05 -6.60570307e-05
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b1: [[-2.04292245e-04]
 [ 1.37546361e-04]
 [ 1.37041965e-04]
 [ 2.65831917e-04]
 [ 7.78005035e-06]]
learning_rate * b1: [[ 3.52228126e-06]
 [-2.37148605e-06]
 [-2.36278434e-06]
 [-4.58329805e-06]
 [-1.34138219e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01739628,  0.00383982],
       [ 0.00129494, -0.0182813 ],
       [-0.00244514, -0.00319522],
       [-0.00018972, -0.00558648],
       [-0.00041952, -0.00475218]]), 'b1': array([[-2.07814526e-04],
       [ 1.39917847e-04],
       [ 1.39404749e-04],
       [ 2.70415215e-04],
       [ 7.91418857e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01739628  0.00383982]
 [ 0.00129494 -0.0182813 ]
 [-0.00244514 -0.00319522]
 [-0.00018972 -0.00558648]
 [-0.00041952 -0.00475218]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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 [ 1.39917847e-04]
 [ 1.39404749e-04]
 [ 2.70415215e-04]
 [ 7.91418857e-06]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
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Sigmoid: [[0.5027501  0.50274859 0.50276466 0.50276888 0.50277524 0.50279639
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01738798,  0.00383091],
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       [ 1.41767533e-04],
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Grads: {'dA1': array([[ 0.00653319,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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learning_rate * b1: [[ 3.52228131e-06]
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Shape of A_prev: (2, 100)
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Sigmoid: [[0.50275014 0.50274862 0.50276467 0.50276888 0.50277524 0.50279635
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01737967,  0.00382201],
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       [ 2.79581810e-04],
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 [ 0.00130612 -0.01826931]
 [-0.00243399 -0.00318327]
 [-0.0001681  -0.00556331]
 [-0.00041889 -0.0047515 ]]
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Linear Cache: (array([[0.50657306, 0.49845594, 0.49803629, 0.49585161, 0.50265995,
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Sigmoid: [[0.50275018 0.50274865 0.50276468 0.50276888 0.50277525 0.50279631
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01737137,  0.00381311],
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       [-0.0001573 , -0.00555173],
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       [ 2.84165107e-04],
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b1: [[-2.21903651e-04]
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learning_rate * b1: [[ 3.52228138e-06]
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Length of params: 4, L: 2, Params: {'W1': array([[ 0.01735476,  0.0037953 ],
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b1: [[-2.25425933e-04]
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learning_rate * b1: [[ 3.52228140e-06]
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Length of params: 4, L: 2, Params: {'W1': array([[ 0.01734645,  0.0037864 ],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01734645  0.0037864 ]
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Parameters: {'W1': array([[ 0.01734645,  0.0037864 ],
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Param W1: [[ 0.01734645  0.0037864 ]
 [ 0.00132849 -0.01824533]
 [-0.00241171 -0.00315938]
 [-0.00012487 -0.00551697]
 [-0.00041762 -0.00475014]]
Grads dA1: [[ 6.53318863e-05  6.53320919e-05 -6.60564819e-05 -6.60570304e-05
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b1: [[-2.28948214e-04]
 [ 1.54146761e-04]
 [ 1.53581449e-04]
 [ 2.97914995e-04]
 [ 8.71901747e-06]]
learning_rate * b1: [[ 3.52228142e-06]
 [-2.37148531e-06]
 [-2.36278237e-06]
 [-4.58329519e-06]
 [-1.34138081e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01733815,  0.00377749],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01733815  0.00377749]
 [ 0.00133408 -0.01823934]
 [-0.00240614 -0.00315341]
 [-0.00011406 -0.00550539]
 [-0.0004173  -0.0047498 ]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Shape of A_prev: (5, 100)
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  0.01114964 0.01106975 0.01100961 0.01110386 0.01099042 0.01108032
  0.01091077 0.01095232 0.01074679 0.01130366 0.01120179 0.01101579
  0.01083969 0.01102957 0.01103861 0.01120112 0.01096789 0.01103569
  0.01099039 0.01104237 0.01118112 0.01104689 0.01100782 0.01092823
  0.01105855 0.01110578 0.01105412 0.01101839 0.01103034 0.0109997
  0.01089217 0.01101911 0.01092398 0.01100626 0.01098058 0.01119293
  0.01103125 0.01102332 0.01103029 0.01093185]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01733815,  0.00377749],
       [ 0.00133408, -0.01823934],
       [-0.00240614, -0.00315341],
       [-0.00011406, -0.00550539],
       [-0.0004173 , -0.0047498 ]]), 'b1': array([[-2.32470495e-04],
       [ 1.56518247e-04],
       [ 1.55944232e-04],
       [ 3.02498290e-04],
       [ 8.85315555e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653319,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01733815,  0.00377749],
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Param W1: [[ 0.01733815  0.00377749]
 [ 0.00133408 -0.01823934]
 [-0.00240614 -0.00315341]
 [-0.00011406 -0.00550539]
 [-0.0004173  -0.0047498 ]]
Grads dA1: [[ 6.53318812e-05  6.53320883e-05 -6.60564829e-05 -6.60570304e-05
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Linear Cache: (array([[0.50655678, 0.49844426, 0.49803288, 0.49585174, 0.50265875,
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Sigmoid: [[0.50275037 0.50274878 0.50276472 0.50276887 0.50277526 0.5027961
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01732984,  0.00376859],
       [ 0.00133968, -0.01823335],
       [-0.00240056, -0.00314744],
       [-0.00010325, -0.0054938 ],
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       [ 1.58889732e-04],
       [ 1.58307014e-04],
       [ 3.07081585e-04],
       [ 8.98729361e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653319,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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Sigmoid: [[0.50275041 0.50274881 0.50276472 0.50276887 0.50277526 0.50279606
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.73215355e-02,  3.75968802e-03],
       [ 1.34527015e-03, -1.82273513e-02],
       [-2.39499133e-03, -3.14146386e-03],
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       [ 1.60669796e-04],
       [ 3.11664879e-04],
       [ 9.12143166e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
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 [ 1.34527015e-03 -1.82273513e-02]
 [-2.39499133e-03 -3.14146386e-03]
 [-9.24449695e-05 -5.48221559e-03]
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Linear Cache: (array([[0.50655026, 0.49843959, 0.49803151, 0.49585179, 0.50265827,
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Sigmoid: [[0.50275045 0.50274884 0.50276473 0.50276887 0.50277527 0.50279601
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.73132303e-02,  3.75078491e-03],
       [ 1.35086272e-03, -1.82213575e-02],
       [-2.38941941e-03, -3.13549143e-03],
       [-8.16366047e-05, -5.47063043e-03],
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       [ 1.63632702e-04],
       [ 1.63032577e-04],
       [ 3.16248173e-04],
       [ 9.25556968e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653319,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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 [ 1.35086272e-03 -1.82213575e-02]
 [-2.38941941e-03 -3.13549143e-03]
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.73049252e-02,  3.74188180e-03],
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       [-5.59257475e-04, -5.99377462e-04],
       [-5.57191071e-04, -5.97242672e-04],
       [-1.08083637e-03, -1.15851648e-03],
       [-3.16325823e-05, -3.39061234e-05]]), 'db1': array([[ 3.52228150e-04],
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       [-2.36278095e-04],
       [-4.58329310e-04],
       [-1.34137983e-05]]), 'dA0': array([[ 2.95556935e-05,  2.95605140e-05, -2.98879514e-05,
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        -2.98887402e-05,  2.95599718e-05, -2.98886566e-05,
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         4.14674529e-05,  4.14680079e-05,  4.14671226e-05,
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         4.14672764e-05,  4.14678304e-05,  4.14666426e-05,
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Parameters: {'W1': array([[ 1.73049252e-02,  3.74188180e-03],
       [ 1.35645530e-03, -1.82153637e-02],
       [-2.38384750e-03, -3.12951900e-03],
       [-7.08282405e-05, -5.45904526e-03],
       [-4.16038814e-04, -4.74844594e-03]]), 'b1': array([[-2.46559621e-04],
       [ 1.66004187e-04],
       [ 1.65395358e-04],
       [ 3.20831467e-04],
       [ 9.38970768e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 1.73049252e-02  3.74188180e-03]
 [ 1.35645530e-03 -1.82153637e-02]
 [-2.38384750e-03 -3.12951900e-03]
 [-7.08282405e-05 -5.45904526e-03]
 [-4.16038814e-04 -4.74844594e-03]]
Grads dA1: [[ 6.53318610e-05  6.53320738e-05 -6.60564872e-05 -6.60570302e-05
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  -6.60603691e-05  6.53333146e-05 -6.60584072e-05 -6.60589901e-05
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  -4.39875374e-05  4.44763274e-05 -4.39868886e-05 -4.39903954e-05
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  -4.39880497e-05  4.44761655e-05 -4.39898008e-05 -4.39888859e-05
  -4.39934069e-05  4.44810770e-05  4.44788355e-05 -4.39874935e-05
  -4.39913671e-05 -4.39871874e-05 -4.39869896e-05  4.44788196e-05
  -4.39885471e-05 -4.39870527e-05 -4.39880509e-05 -4.39869061e-05
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  -4.39865511e-05  4.44767261e-05  4.44755878e-05 -4.39874345e-05
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  -4.39871529e-05 -4.39873266e-05 -4.39871746e-05 -4.39893380e-05]
 [-4.38234968e-05 -4.38236395e-05  4.43095637e-05  4.43099280e-05
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   4.43101202e-05  4.43114088e-05 -4.38258381e-05 -4.38232484e-05
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  -4.38232303e-05  4.43101946e-05 -4.38225840e-05 -4.38260777e-05
  -4.38227755e-05 -4.38242534e-05  4.43097899e-05  4.43145480e-05
   4.43092010e-05 -4.38257515e-05 -4.38227283e-05 -4.38227753e-05
  -4.38230391e-05 -4.38231917e-05 -4.38225970e-05  4.43105155e-05
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  -4.38237407e-05  4.43100333e-05 -4.38254853e-05 -4.38245738e-05
  -4.38290780e-05  4.43149264e-05  4.43126932e-05 -4.38231866e-05
  -4.38270457e-05 -4.38228817e-05 -4.38226846e-05  4.43126774e-05
  -4.38242362e-05 -4.38227475e-05 -4.38237419e-05 -4.38226014e-05
   4.43122426e-05 -4.38225041e-05 -4.38233599e-05 -4.38251041e-05
  -4.38222477e-05  4.43105917e-05  4.43094577e-05 -4.38231278e-05
  -4.38228662e-05 -4.38235359e-05 -4.38258931e-05 -4.38231124e-05
  -4.38251989e-05 -4.38233958e-05 -4.38239566e-05  4.43125021e-05
  -4.38228473e-05 -4.38230203e-05 -4.38228689e-05 -4.38250242e-05]
 [-8.50084375e-05 -8.50087144e-05  8.59513058e-05  8.59520124e-05
   8.59531056e-05  8.59566450e-05 -8.50129765e-05  8.59567350e-05
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   8.59575319e-05  8.59515872e-05 -8.50070246e-05  8.59536565e-05
   8.59523852e-05  8.59548849e-05 -8.50129790e-05 -8.50079556e-05
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  -8.50098719e-05 -8.50069840e-05 -8.50089129e-05 -8.50067006e-05
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  -8.50071775e-05 -8.50075131e-05 -8.50072195e-05 -8.50114004e-05]
 [-2.48792043e-06 -2.48792853e-06  2.51551511e-06  2.51553579e-06
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  -2.48791058e-06  2.51563614e-06 -2.48796716e-06  2.51573659e-06
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   2.51569733e-06  2.51552335e-06 -2.48787908e-06  2.51558391e-06
   2.51554670e-06  2.51561986e-06 -2.48805334e-06 -2.48790632e-06
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  -2.48787948e-06 -2.48796338e-06  2.51552796e-06  2.51579808e-06
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  -2.48793427e-06  2.51554177e-06 -2.48803332e-06 -2.48798157e-06
  -2.48823727e-06  2.51581956e-06  2.51569278e-06 -2.48790281e-06
  -2.48812190e-06 -2.48788550e-06 -2.48787431e-06  2.51569189e-06
  -2.48796240e-06 -2.48787789e-06 -2.48793434e-06 -2.48786959e-06
   2.51566720e-06 -2.48786407e-06 -2.48791265e-06 -2.48801168e-06
  -2.48784951e-06  2.51557348e-06  2.51550909e-06 -2.48789948e-06
  -2.48788462e-06 -2.48792265e-06 -2.48805647e-06 -2.48789860e-06
  -2.48801705e-06 -2.48791469e-06 -2.48794653e-06  2.51568193e-06
  -2.48788355e-06 -2.48789337e-06 -2.48788478e-06 -2.48800714e-06]]
b1: [[-2.46559621e-04]
 [ 1.66004187e-04]
 [ 1.65395358e-04]
 [ 3.20831467e-04]
 [ 9.38970768e-06]]
learning_rate * b1: [[ 3.52228150e-06]
 [-2.37148478e-06]
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72966200e-02,  3.73297869e-03],
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Parameters: {'W1': array([[ 1.72966200e-02,  3.73297869e-03],
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Param W1: [[ 1.72966200e-02  3.73297869e-03]
 [ 1.36204787e-03 -1.82093699e-02]
 [-2.37827559e-03 -3.12354657e-03]
 [-6.00198768e-05 -5.44746010e-03]
 [-4.15722488e-04 -4.74810687e-03]]
Grads dA1: [[ 6.53318559e-05  6.53320702e-05 -6.60564882e-05 -6.60570302e-05
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b1: [[-2.50081903e-04]
 [ 1.68375672e-04]
 [ 1.67758139e-04]
 [ 3.25414760e-04]
 [ 9.52384567e-06]]
learning_rate * b1: [[ 3.52228152e-06]
 [-2.37148467e-06]
 [-2.36278066e-06]
 [-4.58329268e-06]
 [-1.34137963e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 1.72883148e-02,  3.72407558e-03],
       [ 1.36764045e-03, -1.82033762e-02],
       [-2.37270368e-03, -3.11757415e-03],
       [-4.92115136e-05, -5.43587493e-03],
       [-4.15406163e-04, -4.74776781e-03]]), 'b1': array([[-2.53604184e-04],
       [ 1.70747156e-04],
       [ 1.70120920e-04],
       [ 3.29998052e-04],
       [ 9.65798363e-06]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 1.72883148e-02  3.72407558e-03]
 [ 1.36764045e-03 -1.82033762e-02]
 [-2.37270368e-03 -3.11757415e-03]
 [-4.92115136e-05 -5.43587493e-03]
 [-4.15406163e-04 -4.74776781e-03]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Param W1: [[ 1.72883148e-02  3.72407558e-03]
 [ 1.36764045e-03 -1.82033762e-02]
 [-2.37270368e-03 -3.11757415e-03]
 [-4.92115136e-05 -5.43587493e-03]
 [-4.15406163e-04 -4.74776781e-03]]
Grads dA1: [[ 6.53318509e-05  6.53320665e-05 -6.60564893e-05 -6.60570302e-05
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b1: [[-2.53604184e-04]
 [ 1.70747156e-04]
 [ 1.70120920e-04]
 [ 3.29998052e-04]
 [ 9.65798363e-06]]
learning_rate * b1: [[ 3.52228153e-06]
 [-2.37148457e-06]
 [-2.36278038e-06]
 [-4.58329225e-06]
 [-1.34137944e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 1.72800096e-02,  3.71517247e-03],
       [ 1.37323302e-03, -1.81973824e-02],
       [-2.36713177e-03, -3.11160172e-03],
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       [ 1.73118641e-04],
       [ 1.72483700e-04],
       [ 3.34581345e-04],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 1.72800096e-02  3.71517247e-03]
 [ 1.37323302e-03 -1.81973824e-02]
 [-2.36713177e-03 -3.11160172e-03]
 [-3.84031509e-05 -5.42428977e-03]
 [-4.15089837e-04 -4.74742875e-03]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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 [ 1.73118641e-04]
 [ 1.72483700e-04]
 [ 3.34581345e-04]
 [ 9.79212157e-06]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
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  0.01089413 0.0110198  0.01092542 0.01100693 0.01098165 0.01119208
  0.01103175 0.01102395 0.01103075 0.01093339]]
PARAMS BEFORE UPDATE: {'W1': array([[ 1.72800096e-02,  3.71517247e-03],
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Parameters: {'W1': array([[ 1.72800096e-02,  3.71517247e-03],
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Param W1: [[ 1.72800096e-02  3.71517247e-03]
 [ 1.37323302e-03 -1.81973824e-02]
 [-2.36713177e-03 -3.11160172e-03]
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learning_rate * b1: [[ 3.52228155e-06]
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Shape of A_prev: (2, 100)
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Shape of A_prev: (5, 100)
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72717045e-02,  3.70626936e-03],
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Grads: {'dA1': array([[ 0.00653318,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 1.72717045e-02,  3.70626936e-03],
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Param W1: [[ 1.72717045e-02  3.70626936e-03]
 [ 1.37882560e-03 -1.81913886e-02]
 [-2.36155986e-03 -3.10562930e-03]
 [-2.75947887e-05 -5.41270460e-03]
 [-4.14773511e-04 -4.74708969e-03]]
Grads dA1: [[ 6.53318408e-05  6.53320593e-05 -6.60564914e-05 -6.60570301e-05
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Sigmoid: [[0.50275068 0.502749   0.50276478 0.50276887 0.50277528 0.50279576
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72633993e-02,  3.69736625e-03],
       [ 1.38441817e-03, -1.81853948e-02],
       [-2.35598795e-03, -3.09965687e-03],
       [-1.67864271e-05, -5.40111944e-03],
       [-4.14457185e-04, -4.74675063e-03]]), 'b1': array([[-2.64171029e-04],
       [ 1.77861610e-04],
       [ 1.77209260e-04],
       [ 3.43747928e-04],
       [ 1.00603974e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653318,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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 [-2.35598795e-03 -3.09965687e-03]
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Sigmoid: [[0.50275072 0.50274903 0.50276479 0.50276887 0.50277529 0.50279572
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72550941e-02,  3.68846314e-03],
       [ 1.39001075e-03, -1.81794011e-02],
       [-2.35041604e-03, -3.09368445e-03],
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       [ 1.80233094e-04],
       [ 1.79572040e-04],
       [ 3.48331219e-04],
       [ 1.01945353e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653318,  0.00653321, -0.00660565, -0.0066057 , -0.00660579,
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 [ 1.39001075e-03 -1.81794011e-02]
 [-2.35041604e-03 -3.09368445e-03]
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Linear Cache: (array([[0.5065242 , 0.49842091, 0.49802606, 0.495852  , 0.50265635,
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Sigmoid: [[0.50275076 0.50274906 0.5027648  0.50276887 0.50277529 0.50279568
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72467889e-02,  3.67956003e-03],
       [ 1.39560332e-03, -1.81734073e-02],
       [-2.34484413e-03, -3.08771202e-03],
       [ 4.83029457e-06, -5.37794911e-03],
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       [ 1.81934819e-04],
       [ 3.52914509e-04],
       [ 1.03286732e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653318,  0.0065332 , -0.00660565, -0.0066057 , -0.00660579,
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Param W1: [[ 1.72467889e-02  3.67956003e-03]
 [ 1.39560332e-03 -1.81734073e-02]
 [-2.34484413e-03 -3.08771202e-03]
 [ 4.83029457e-06 -5.37794911e-03]
 [-4.13824534e-04 -4.74607251e-03]]
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Sigmoid: [[0.50275079 0.50274909 0.5027648  0.50276887 0.50277529 0.50279564
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72384837e-02,  3.67065691e-03],
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Parameters: {'W1': array([[ 1.72384837e-02,  3.67065691e-03],
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Param W1: [[ 1.72384837e-02  3.67065691e-03]
 [ 1.40119589e-03 -1.81674135e-02]
 [-2.33927223e-03 -3.08173960e-03]
 [ 1.56386546e-05 -5.36636394e-03]
 [-4.13508208e-04 -4.74573345e-03]]
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72301785e-02,  3.66175380e-03],
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Parameters: {'W1': array([[ 1.72301785e-02,  3.66175380e-03],
       [ 1.40678847e-03, -1.81614197e-02],
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       [ 2.64470141e-05, -5.35477878e-03],
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       [ 1.86660377e-04],
       [ 3.62081089e-04],
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Param W1: [[ 1.72301785e-02  3.66175380e-03]
 [ 1.40678847e-03 -1.81614197e-02]
 [-2.33370032e-03 -3.07576717e-03]
 [ 2.64470141e-05 -5.35477878e-03]
 [-4.13191883e-04 -4.74539439e-03]]
Grads dA1: [[ 6.53318155e-05  6.53320412e-05 -6.60564967e-05 -6.60570299e-05
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  -4.38228331e-05 -4.38230024e-05 -4.38228558e-05 -4.38249806e-05]
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b1: [[-2.78260155e-04]
 [ 1.87347546e-04]
 [ 1.86660377e-04]
 [ 3.62081089e-04]
 [ 1.05969488e-05]]
learning_rate * b1: [[ 3.52228161e-06]
 [-2.37148381e-06]
 [-2.36277838e-06]
 [-4.58328923e-06]
 [-1.34137806e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 1.72218733e-02,  3.65285069e-03],
       [ 1.41238104e-03, -1.81554260e-02],
       [-2.32812841e-03, -3.06979475e-03],
       [ 3.72553731e-05, -5.34319362e-03],
       [-4.12875557e-04, -4.74505532e-03]]), 'b1': array([[-2.81782437e-04],
       [ 1.89719030e-04],
       [ 1.89023155e-04],
       [ 3.66664378e-04],
       [ 1.07310866e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 1.72218733e-02  3.65285069e-03]
 [ 1.41238104e-03 -1.81554260e-02]
 [-2.32812841e-03 -3.06979475e-03]
 [ 3.72553731e-05 -5.34319362e-03]
 [-4.12875557e-04 -4.74505532e-03]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
   1.74481176 -0.7612069   0.3190391  -0.24937038  1.46210794 -2.06014071
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   0.04221375  0.58281521 -1.10061918  1.14472371  0.90159072  0.50249434
   0.90085595 -0.68372786 -0.12289023 -0.93576943 -0.26788808  0.53035547
  -0.69166075 -0.39675353 -0.6871727  -0.84520564 -0.67124613 -0.0126646
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         4.09441751e-05, -4.13997818e-05, -4.13986766e-05,
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Parameters: {'W1': array([[ 1.72218733e-02,  3.65285069e-03],
       [ 1.41238104e-03, -1.81554260e-02],
       [-2.32812841e-03, -3.06979475e-03],
       [ 3.72553731e-05, -5.34319362e-03],
       [-4.12875557e-04, -4.74505532e-03]]), 'b1': array([[-2.81782437e-04],
       [ 1.89719030e-04],
       [ 1.89023155e-04],
       [ 3.66664378e-04],
       [ 1.07310866e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 1.72218733e-02  3.65285069e-03]
 [ 1.41238104e-03 -1.81554260e-02]
 [-2.32812841e-03 -3.06979475e-03]
 [ 3.72553731e-05 -5.34319362e-03]
 [-4.12875557e-04 -4.74505532e-03]]
Grads dA1: [[ 6.53318104e-05  6.53320375e-05 -6.60564978e-05 -6.60570298e-05
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b1: [[-2.81782437e-04]
 [ 1.89719030e-04]
 [ 1.89023155e-04]
 [ 3.66664378e-04]
 [ 1.07310866e-05]]
learning_rate * b1: [[ 3.52228162e-06]
 [-2.37148370e-06]
 [-2.36277810e-06]
 [-4.58328879e-06]
 [-1.34137786e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 1.72135682e-02,  3.64394758e-03],
       [ 1.41797361e-03, -1.81494322e-02],
       [-2.32255650e-03, -3.06382233e-03],
       [ 4.80637315e-05, -5.33160845e-03],
       [-4.12559232e-04, -4.74471626e-03]]), 'b1': array([[-2.85304718e-04],
       [ 1.92090514e-04],
       [ 1.91385933e-04],
       [ 3.71247667e-04],
       [ 1.08652244e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 1.72135682e-02  3.64394758e-03]
 [ 1.41797361e-03 -1.81494322e-02]
 [-2.32255650e-03 -3.06382233e-03]
 [ 4.80637315e-05 -5.33160845e-03]
 [-4.12559232e-04 -4.74471626e-03]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Param W1: [[ 1.72135682e-02  3.64394758e-03]
 [ 1.41797361e-03 -1.81494322e-02]
 [-2.32255650e-03 -3.06382233e-03]
 [ 4.80637315e-05 -5.33160845e-03]
 [-4.12559232e-04 -4.74471626e-03]]
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b1: [[-2.85304718e-04]
 [ 1.92090514e-04]
 [ 1.91385933e-04]
 [ 3.71247667e-04]
 [ 1.08652244e-05]]
learning_rate * b1: [[ 3.52228163e-06]
 [-2.37148359e-06]
 [-2.36277781e-06]
 [-4.58328835e-06]
 [-1.34137767e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 1.72052630e-02,  3.63504446e-03],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 1.72052630e-02  3.63504446e-03]
 [ 1.42356619e-03 -1.81434384e-02]
 [-2.31698460e-03 -3.05784991e-03]
 [ 5.88720893e-05 -5.32002329e-03]
 [-4.12242906e-04 -4.74437720e-03]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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Shape of A_prev: (5, 100)
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.72052630e-02,  3.63504446e-03],
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Parameters: {'W1': array([[ 1.72052630e-02,  3.63504446e-03],
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Param W1: [[ 1.72052630e-02  3.63504446e-03]
 [ 1.42356619e-03 -1.81434384e-02]
 [-2.31698460e-03 -3.05784991e-03]
 [ 5.88720893e-05 -5.32002329e-03]
 [-4.12242906e-04 -4.74437720e-03]]
Grads dA1: [[ 6.53318003e-05  6.53320303e-05 -6.60564999e-05 -6.60570298e-05
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Linear Cache: (array([[0.50650466, 0.49840689, 0.49802197, 0.49585216, 0.50265491,
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Sigmoid: [[0.50275099 0.50274923 0.50276485 0.50276887 0.50277531 0.50279543
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.71969578e-02,  3.62614135e-03],
       [ 1.42915876e-03, -1.81374446e-02],
       [-2.31141269e-03, -3.05187748e-03],
       [ 6.96804467e-05, -5.30843812e-03],
       [-4.11926581e-04, -4.74403814e-03]]), 'b1': array([[-2.92349282e-04],
       [ 1.96833481e-04],
       [ 1.96111489e-04],
       [ 3.80414243e-04],
       [ 1.11334999e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653318,  0.0065332 , -0.00660565, -0.0066057 , -0.00660579,
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 [ 1.42915876e-03 -1.81374446e-02]
 [-2.31141269e-03 -3.05187748e-03]
 [ 6.96804467e-05 -5.30843812e-03]
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Sigmoid: [[0.50275103 0.50274925 0.50276485 0.50276887 0.50277531 0.50279539
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.71886526e-02,  3.61723823e-03],
       [ 1.43475133e-03, -1.81314508e-02],
       [-2.30584078e-03, -3.04590506e-03],
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       [ 1.98474266e-04],
       [ 3.84997531e-04],
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Grads: {'dA1': array([[ 0.00653318,  0.0065332 , -0.00660565, -0.0066057 , -0.00660579,
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 [ 1.43475133e-03 -1.81314508e-02]
 [-2.30584078e-03 -3.04590506e-03]
 [ 8.04888034e-05 -5.29685296e-03]
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Sigmoid: [[0.50275106 0.50274928 0.50276486 0.50276887 0.50277531 0.50279535
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PARAMS BEFORE UPDATE: {'W1': array([[ 1.71803474e-02,  3.60833512e-03],
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 [ 1.44034390e-03 -1.81254571e-02]
 [-2.30026888e-03 -3.03993264e-03]
 [ 9.12971596e-05 -5.28526780e-03]
 [-4.11293930e-04 -4.74336002e-03]]
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Sigmoid: [[0.5027511  0.50274931 0.50276487 0.50276887 0.50277531 0.50279531
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  0.01114791 0.01107095 0.01101197 0.01110348 0.01099325 0.01108064
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  0.01089779 0.01102108 0.01092809 0.01100817 0.01098363 0.01119049
  0.01103268 0.01102513 0.01103161 0.01093625]]
PARAMS BEFORE UPDATE: {'W1': array([[ 0.01717204,  0.00359943],
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Parameters: {'W1': array([[ 0.01717204,  0.00359943],
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Param W1: [[ 0.01717204  0.00359943]
 [ 0.00144594 -0.01811946]
 [-0.0022947  -0.00303396]
 [ 0.00010211 -0.00527368]
 [-0.00041098 -0.00474302]]
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Parameters: {'W1': array([[ 0.01716374,  0.00359053],
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Param W1: [[ 0.01716374  0.00359053]
 [ 0.00145153 -0.01811347]
 [-0.00228913 -0.00302799]
 [ 0.00011291 -0.0052621 ]
 [-0.00041066 -0.00474268]]
Grads dA1: [[ 6.53317750e-05  6.53320121e-05 -6.60565052e-05 -6.60570295e-05
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b1: [[-3.06438408e-04]
 [ 2.06319413e-04]
 [ 2.05562596e-04]
 [ 3.98747391e-04]
 [ 1.16700507e-05]]
learning_rate * b1: [[ 3.52228165e-06]
 [-2.37148292e-06]
 [-2.36277609e-06]
 [-4.58328567e-06]
 [-1.34137649e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01715543,  0.00358163],
       [ 0.00145712, -0.01810748],
       [-0.00228355, -0.00302202],
       [ 0.00012372, -0.00525051],
       [-0.00041034, -0.00474234]]), 'b1': array([[-3.09960690e-04],
       [ 2.08690896e-04],
       [ 2.07925372e-04],
       [ 4.03330676e-04],
       [ 1.18041884e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01715543  0.00358163]
 [ 0.00145712 -0.01810748]
 [-0.00228355 -0.00302202]
 [ 0.00012372 -0.00525051]
 [-0.00041034 -0.00474234]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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        -4.09770497e-05,  4.05265437e-05, -4.09767279e-05,
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         4.05262524e-05,  4.05255311e-05, -4.09758719e-05,
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Parameters: {'W1': array([[ 0.01715543,  0.00358163],
       [ 0.00145712, -0.01810748],
       [-0.00228355, -0.00302202],
       [ 0.00012372, -0.00525051],
       [-0.00041034, -0.00474234]]), 'b1': array([[-3.09960690e-04],
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       [ 2.07925372e-04],
       [ 4.03330676e-04],
       [ 1.18041884e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.01715543  0.00358163]
 [ 0.00145712 -0.01810748]
 [-0.00228355 -0.00302202]
 [ 0.00012372 -0.00525051]
 [-0.00041034 -0.00474234]]
Grads dA1: [[ 6.53317700e-05  6.53320085e-05 -6.60565062e-05 -6.60570295e-05
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b1: [[-3.09960690e-04]
 [ 2.08690896e-04]
 [ 2.07925372e-04]
 [ 4.03330676e-04]
 [ 1.18041884e-05]]
learning_rate * b1: [[ 3.52228166e-06]
 [-2.37148281e-06]
 [-2.36277580e-06]
 [-4.58328522e-06]
 [-1.34137629e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.01714713,  0.00357272],
       [ 0.00146271, -0.01810148],
       [-0.00227798, -0.00301604],
       [ 0.00013453, -0.00523893],
       [-0.00041003, -0.004742  ]]), 'b1': array([[-3.13482972e-04],
       [ 2.11062379e-04],
       [ 2.10288148e-04],
       [ 4.07913962e-04],
       [ 1.19383260e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01714713  0.00357272]
 [ 0.00146271 -0.01810148]
 [-0.00227798 -0.00301604]
 [ 0.00013453 -0.00523893]
 [-0.00041003 -0.004742  ]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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   2.52832571 -0.24863478  0.04366899 -0.22631424  1.33145711 -0.28730786
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   0.60231928  0.4202822   0.81095167  1.04444209]], Bias: [[-3.13482972e-04]
 [ 2.11062379e-04]
 [ 2.10288148e-04]
 [ 4.07913962e-04]
 [ 1.19383260e-05]]
Linear Cache: (array([[ 1.62434536, -0.61175641, -0.52817175, -1.07296862,  0.86540763,
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01714713,  0.00357272],
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Parameters: {'W1': array([[ 0.01714713,  0.00357272],
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Param W1: [[ 0.01714713  0.00357272]
 [ 0.00146271 -0.01810148]
 [-0.00227798 -0.00301604]
 [ 0.00013453 -0.00523893]
 [-0.00041003 -0.004742  ]]
Grads dA1: [[ 6.53317649e-05  6.53320049e-05 -6.60565073e-05 -6.60570295e-05
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Shape of A_prev: (5, 100)
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Sigmoid: [[0.50275126 0.50274942 0.5027649  0.50276887 0.50277533 0.50279514
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01713882,  0.00356382],
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Param W1: [[ 0.01713882  0.00356382]
 [ 0.00146831 -0.01809549]
 [-0.00227241 -0.00301007]
 [ 0.00014534 -0.00522734]
 [-0.00040971 -0.00474166]]
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Sigmoid: [[0.50275129 0.50274945 0.50276491 0.50276887 0.50277533 0.5027951
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01713052,  0.00355492],
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       [ 0.00015615, -0.00521576],
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       [ 2.15013698e-04],
       [ 4.17080531e-04],
       [ 1.22066012e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653318,  0.0065332 , -0.00660565, -0.0066057 , -0.00660579,
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 [ 0.00015615 -0.00521576]
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Sigmoid: [[0.50275133 0.50274947 0.50276492 0.50276887 0.50277533 0.50279506
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01712221,  0.00354601],
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       [-0.00226127, -0.00299813],
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       [ 2.17376473e-04],
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Sigmoid: [[0.50275137 0.5027495  0.50276493 0.50276887 0.50277533 0.50279502
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01711391,  0.00353711],
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         0.00025157, -0.00024879, -0.00024881, -0.00024879, -0.00024879,
         0.00025157, -0.0002488 , -0.00024879, -0.00024879, -0.00024879,
         0.00025157, -0.00024879, -0.00024879, -0.0002488 , -0.00024878,
         0.00025156,  0.00025155, -0.00024879, -0.00024879, -0.00024879,
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         0.00025157, -0.00024879, -0.00024879, -0.00024879, -0.0002488 ]]), 'dW1': array([[ 8.30520288e-04,  8.90311755e-04],
       [-5.59257085e-04, -5.99378260e-04],
       [-5.57190325e-04, -5.97241782e-04],
       [-1.08083511e-03, -1.15851623e-03],
       [-3.16325194e-05, -3.39060474e-05]]), 'db1': array([[ 3.52228165e-04],
       [-2.37148225e-04],
       [-2.36277435e-04],
       [-4.58328293e-04],
       [-1.34137531e-05]]), 'dA0': array([[ 2.84332016e-05,  2.84378681e-05, -2.87528995e-05,
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        -2.87521282e-05, -2.87545524e-05,  2.84375698e-05,
        -2.87529702e-05, -2.87538146e-05, -2.87536061e-05,
        -2.87522927e-05,  2.84369253e-05, -2.87540860e-05,
        -2.87515231e-05, -2.87546708e-05,  2.84326734e-05,
         2.84365905e-05, -2.87536022e-05, -2.87524129e-05,
         2.84368337e-05,  2.84324682e-05,  2.84376775e-05,
        -2.87529038e-05,  2.84372037e-05,  2.84294783e-05,
         2.84373571e-05,  2.84372519e-05, -2.87533871e-05,
        -2.87556388e-05, -2.87514021e-05,  2.84399008e-05,
         2.84373580e-05,  2.84367845e-05,  2.84362804e-05,
         2.84360460e-05,  2.84371339e-05, -2.87532963e-05,
        -2.87529886e-05,  2.84349064e-05,  2.84371319e-05,
        -2.87536543e-05,  2.84373563e-05, -2.87535871e-05,
         2.84356385e-05,  2.84336271e-05,  2.84277789e-05,
        -2.87503224e-05, -2.87500290e-05,  2.84375440e-05,
         2.84399995e-05,  2.84361442e-05,  2.84371469e-05,
        -2.87462302e-05,  2.84385545e-05,  2.84362424e-05,
         2.84378057e-05,  2.84363660e-05, -2.87546907e-05,
         2.84371927e-05,  2.84376426e-05,  2.84381733e-05,
         2.84370164e-05, -2.87540246e-05, -2.87526208e-05,
         2.84372801e-05,  2.84374097e-05,  2.84354150e-05,
         2.84353563e-05,  2.84375032e-05,  2.84394159e-05,
         2.84375960e-05,  2.84375869e-05, -2.87553726e-05,
         2.84373805e-05,  2.84375477e-05,  2.84371036e-05,
         2.84372873e-05],
       [ 4.02636222e-05,  4.02625859e-05, -4.07114664e-05,
        -4.07110350e-05, -4.07101633e-05, -4.07118612e-05,
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        -4.07118460e-05, -4.07121699e-05, -4.07107142e-05,
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        -4.07127461e-05, -4.07126508e-05, -4.07118834e-05,
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        -4.07113050e-05, -4.07111368e-05,  4.02651421e-05,
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        -4.07058597e-05, -4.07090262e-05,  4.02589697e-05,
         4.02641822e-05,  4.02643856e-05,  4.02644424e-05,
         4.02645163e-05,  4.02643698e-05, -4.07100595e-05,
        -4.07129231e-05,  4.02613082e-05,  4.02648530e-05,
        -4.07125518e-05,  4.02649463e-05, -4.07122349e-05,
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        -4.07096162e-05, -4.07130293e-05,  4.02634265e-05,
         4.02575108e-05,  4.02641843e-05,  4.02644395e-05,
        -4.07127370e-05,  4.02628056e-05,  4.02640608e-05,
         4.02646563e-05,  4.02639399e-05, -4.07113718e-05,
         4.02641455e-05,  4.02646691e-05,  4.02638004e-05,
         4.02640464e-05, -4.07120897e-05, -4.07110190e-05,
         4.02647373e-05,  4.02645207e-05,  4.02646650e-05,
         4.02645790e-05,  4.02646402e-05,  4.02604493e-05,
         4.02628078e-05,  4.02648508e-05, -4.07097789e-05,
         4.02639646e-05,  4.02645012e-05,  4.02633442e-05,
         4.02645965e-05]])}
Parameters: {'W1': array([[ 0.01711391,  0.00353711],
       [ 0.00148508, -0.01807751],
       [-0.00225569, -0.00299215],
       [ 0.00017776, -0.00519259],
       [-0.00040876, -0.00474065]]), 'b1': array([[-3.27572098e-04],
       [ 2.20548309e-04],
       [ 2.19739248e-04],
       [ 4.26247098e-04],
       [ 1.24748763e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Param W1: [[ 0.01711391  0.00353711]
 [ 0.00148508 -0.01807751]
 [-0.00225569 -0.00299215]
 [ 0.00017776 -0.00519259]
 [-0.00040876 -0.00474065]]
Grads dA1: [[ 6.53317447e-05  6.53319904e-05 -6.60565115e-05 -6.60570293e-05
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  -6.60570194e-05 -6.60625388e-05  6.53329447e-05  6.53320651e-05
  -6.60587254e-05  6.53299714e-05  6.53349641e-05  6.53360583e-05
  -6.60598418e-05  6.53318862e-05  6.53339808e-05 -6.60574513e-05
  -6.60602854e-05  6.53331752e-05 -6.60583730e-05 -6.60589441e-05
  -6.60611549e-05 -6.60567160e-05  6.53307305e-05 -6.60582747e-05
  -6.60573068e-05 -6.60591958e-05  6.53351331e-05  6.53314005e-05
  -6.60574491e-05 -6.60585305e-05  6.53307902e-05  6.53350576e-05
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   6.53307269e-05  6.53328575e-05 -6.60568535e-05 -6.60637296e-05
  -6.60559758e-05  6.53350429e-05  6.53306643e-05  6.53307183e-05
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   6.53321175e-05 -6.60571992e-05  6.53346317e-05  6.53333055e-05
   6.53398138e-05 -6.60642591e-05 -6.60610257e-05  6.53313328e-05
   6.53369074e-05  6.53308673e-05  6.53305918e-05 -6.60609927e-05
   6.53328488e-05  6.53306739e-05  6.53321238e-05  6.53304636e-05
  -6.60603947e-05  6.53303396e-05  6.53315715e-05  6.53340926e-05
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   6.53308581e-05  6.53318099e-05  6.53352209e-05  6.53312133e-05
   6.53342434e-05  6.53316380e-05  6.53324312e-05 -6.60607756e-05
   6.53308388e-05  6.53310825e-05  6.53308750e-05  6.53339718e-05]
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   4.44763418e-05  4.44770699e-05 -4.39870839e-05 -4.39899571e-05
  -4.39874853e-05  4.44763242e-05 -4.39868538e-05 -4.39902363e-05
  -4.39870413e-05 -4.39884758e-05  4.44759408e-05  4.44805705e-05
   4.44753498e-05 -4.39899472e-05 -4.39869991e-05 -4.39870355e-05
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   4.44776452e-05 -4.39862721e-05 -4.39875672e-05  4.44766733e-05
  -4.39879776e-05  4.44761735e-05 -4.39896704e-05 -4.39887774e-05
  -4.39931595e-05  4.44809270e-05  4.44787499e-05 -4.39874493e-05
  -4.39912026e-05 -4.39871358e-05 -4.39869503e-05  4.44787277e-05
  -4.39884699e-05 -4.39870056e-05 -4.39879818e-05 -4.39868640e-05
   4.44783251e-05 -4.39867805e-05 -4.39876100e-05 -4.39893074e-05
  -4.39865260e-05  4.44767201e-05  4.44756056e-05 -4.39873816e-05
  -4.39871296e-05 -4.39877705e-05 -4.39900671e-05 -4.39873688e-05
  -4.39894089e-05 -4.39876547e-05 -4.39881888e-05  4.44785816e-05
  -4.39871167e-05 -4.39872807e-05 -4.39871410e-05 -4.39892261e-05]
 [-4.38234188e-05 -4.38235836e-05  4.43095800e-05  4.43099273e-05
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  -4.38220969e-05  4.43098904e-05 -4.38215624e-05  4.43116677e-05
  -4.38232732e-05  4.43116517e-05 -4.38242238e-05  4.43133614e-05
   4.43099207e-05  4.43136230e-05 -4.38242237e-05 -4.38236337e-05
   4.43110651e-05 -4.38222293e-05 -4.38255783e-05 -4.38263123e-05
   4.43118139e-05 -4.38235137e-05 -4.38249188e-05  4.43102104e-05
   4.43121115e-05 -4.38243784e-05  4.43108286e-05  4.43112117e-05
   4.43126947e-05  4.43097171e-05 -4.38227385e-05  4.43107627e-05
   4.43101134e-05  4.43113806e-05 -4.38256917e-05 -4.38231879e-05
   4.43102089e-05  4.43109343e-05 -4.38227786e-05 -4.38256410e-05
  -4.38231785e-05  4.43101913e-05 -4.38225493e-05 -4.38259192e-05
  -4.38227360e-05 -4.38241653e-05  4.43098094e-05  4.43144218e-05
   4.43092206e-05 -4.38256312e-05 -4.38226941e-05 -4.38227303e-05
  -4.38229836e-05 -4.38231307e-05 -4.38225608e-05  4.43105208e-05
   4.43115074e-05 -4.38219697e-05 -4.38232600e-05  4.43105392e-05
  -4.38236689e-05  4.43100413e-05 -4.38253554e-05 -4.38244657e-05
  -4.38288314e-05  4.43147769e-05  4.43126080e-05 -4.38231425e-05
  -4.38268819e-05 -4.38228303e-05 -4.38226455e-05  4.43125859e-05
  -4.38241594e-05 -4.38227005e-05 -4.38236731e-05 -4.38225595e-05
   4.43121848e-05 -4.38224763e-05 -4.38233026e-05 -4.38249937e-05
  -4.38222227e-05  4.43105858e-05  4.43094754e-05 -4.38230751e-05
  -4.38228241e-05 -4.38234626e-05 -4.38257506e-05 -4.38230624e-05
  -4.38250949e-05 -4.38233472e-05 -4.38238793e-05  4.43124403e-05
  -4.38228112e-05 -4.38229746e-05 -4.38228354e-05 -4.38249127e-05]
 [-8.50082861e-05 -8.50086058e-05  8.59513375e-05  8.59520112e-05
   8.59531168e-05  8.59564814e-05 -8.50126906e-05  8.59566039e-05
  -8.50057220e-05  8.59519395e-05 -8.50046852e-05  8.59553871e-05
  -8.50080037e-05  8.59553561e-05 -8.50098477e-05  8.59586725e-05
   8.59519983e-05  8.59591800e-05 -8.50098475e-05 -8.50087031e-05
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   8.59556707e-05 -8.50084703e-05 -8.50111958e-05  8.59525603e-05
   8.59562479e-05 -8.50101476e-05  8.59537595e-05  8.59545026e-05
   8.59573793e-05  8.59516035e-05 -8.50069665e-05  8.59536317e-05
   8.59523722e-05  8.59548301e-05 -8.50126951e-05 -8.50078383e-05
   8.59525574e-05  8.59539645e-05 -8.50070442e-05 -8.50125968e-05
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  -8.50087713e-05  8.59522322e-05 -8.50120427e-05 -8.50103170e-05
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  -8.50097228e-05 -8.50068929e-05 -8.50087794e-05 -8.50066192e-05
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 [-2.48791599e-06 -2.48792535e-06  2.51551604e-06  2.51553576e-06
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  -2.48790773e-06  2.51563365e-06 -2.48796170e-06  2.51573071e-06
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   2.51554632e-06  2.51561826e-06 -2.48804503e-06 -2.48790289e-06
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   2.51562546e-06 -2.48783373e-06 -2.48790698e-06  2.51557049e-06
  -2.48793019e-06  2.51554223e-06 -2.48802594e-06 -2.48797543e-06
  -2.48822328e-06  2.51581108e-06  2.51568794e-06 -2.48790031e-06
  -2.48811260e-06 -2.48788258e-06 -2.48787209e-06  2.51568669e-06
  -2.48795804e-06 -2.48787522e-06 -2.48793043e-06 -2.48786721e-06
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  -2.48784809e-06  2.51557314e-06  2.51551010e-06 -2.48789648e-06
  -2.48788223e-06 -2.48791848e-06 -2.48804837e-06 -2.48789576e-06
  -2.48801115e-06 -2.48791193e-06 -2.48794214e-06  2.51567842e-06
  -2.48788150e-06 -2.48789078e-06 -2.48788288e-06 -2.48800081e-06]]
b1: [[-3.27572098e-04]
 [ 2.20548309e-04]
 [ 2.19739248e-04]
 [ 4.26247098e-04]
 [ 1.24748763e-05]]
learning_rate * b1: [[ 3.52228165e-06]
 [-2.37148225e-06]
 [-2.36277435e-06]
 [-4.58328293e-06]
 [-1.34137531e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.0171056 ,  0.00352821],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.0171056   0.00352821]
 [ 0.00149068 -0.01807151]
 [-0.00225012 -0.00298618]
 [ 0.00018857 -0.005181  ]
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Sigmoid: [[0.50275141 0.50274953 0.50276493 0.50276887 0.50277534 0.50279497
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.0171056 ,  0.00352821],
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Parameters: {'W1': array([[ 0.0171056 ,  0.00352821],
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Param W1: [[ 0.0171056   0.00352821]
 [ 0.00149068 -0.01807151]
 [-0.00225012 -0.00298618]
 [ 0.00018857 -0.005181  ]
 [-0.00040845 -0.00474031]]
Grads dA1: [[ 6.53317396e-05  6.53319868e-05 -6.60565126e-05 -6.60570293e-05
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b1: [[-3.31094380e-04]
 [ 2.22919792e-04]
 [ 2.22102022e-04]
 [ 4.30830381e-04]
 [ 1.26090138e-05]]
learning_rate * b1: [[ 3.52228165e-06]
 [-2.37148214e-06]
 [-2.36277406e-06]
 [-4.58328247e-06]
 [-1.34137511e-07]]
Length of params: 4, L: 2, Params: {'W1': array([[ 0.0170973 ,  0.0035193 ],
       [ 0.00149627, -0.01806552],
       [-0.00224455, -0.00298021],
       [ 0.00019938, -0.00516942],
       [-0.00040813, -0.00473997]]), 'b1': array([[-3.34616661e-04],
       [ 2.25291274e-04],
       [ 2.24464796e-04],
       [ 4.35413663e-04],
       [ 1.27431514e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.0170973   0.0035193 ]
 [ 0.00149627 -0.01806552]
 [-0.00224455 -0.00298021]
 [ 0.00019938 -0.00516942]
 [-0.00040813 -0.00473997]], A_prev: [[ 1.62434536 -0.61175641 -0.52817175 -1.07296862  0.86540763 -2.3015387
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learning_rate * b1: [[ 3.52228165e-06]
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Length of params: 4, L: 2, Params: {'W1': array([[ 0.01708899,  0.0035104 ],
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Shape of W1): (5, 2)
Shape of A_prev: (2, 100)
Weight W1: [[ 0.01708899  0.0035104 ]
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01708068,  0.0035015 ],
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learning_rate * b1: [[ 3.52228164e-06]
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Linear Cache: (array([[0.5064558 , 0.49837185, 0.49801174, 0.49585255, 0.5026513 ,
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Sigmoid: [[0.50275156 0.50274964 0.50276497 0.50276887 0.50277535 0.50279481
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01707238,  0.00349259],
       [ 0.00151305, -0.01804754],
       [-0.00222783, -0.00296229],
       [ 0.00023181, -0.00513466],
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       [ 2.32405719e-04],
       [ 2.31553117e-04],
       [ 4.49163508e-04],
       [ 1.31455638e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Grads: {'dA1': array([[ 0.00653317,  0.0065332 , -0.00660565, -0.0066057 , -0.00660579,
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Parameters: {'W1': array([[ 0.01707238,  0.00349259],
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Param W1: [[ 0.01707238  0.00349259]
 [ 0.00151305 -0.01804754]
 [-0.00222783 -0.00296229]
 [ 0.00023181 -0.00513466]
 [-0.00040718 -0.00473895]]
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Sigmoid: [[0.5027516  0.50274967 0.50276497 0.50276886 0.50277535 0.50279477
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PARAMS BEFORE UPDATE: {'W1': array([[ 0.01706407,  0.00348369],
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Parameters: {'W1': array([[ 0.01706407,  0.00348369],
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Param W1: [[ 0.01706407  0.00348369]
 [ 0.00151864 -0.01804154]
 [-0.00222226 -0.00295632]
 [ 0.00024261 -0.00512308]
 [-0.00040687 -0.00473861]]
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   2.51553553e-06  2.51574396e-06 -2.48796046e-06 -2.48792713e-06
   2.51559983e-06 -2.48784792e-06 -2.48803661e-06 -2.48807803e-06
   2.51564237e-06 -2.48792060e-06 -2.48799964e-06  2.51555172e-06
   2.51565892e-06 -2.48796909e-06  2.51558659e-06  2.51560822e-06
   2.51569170e-06  2.51552395e-06 -2.48787693e-06  2.51558300e-06
   2.51554622e-06  2.51561784e-06 -2.48804286e-06 -2.48790199e-06
   2.51555177e-06  2.51559250e-06 -2.48787920e-06 -2.48804000e-06
  -2.48790159e-06  2.51555070e-06 -2.48786612e-06 -2.48805560e-06
  -2.48787665e-06 -2.48795707e-06  2.51552935e-06  2.51578904e-06
   2.51549593e-06 -2.48803981e-06 -2.48787435e-06 -2.48787625e-06
  -2.48789046e-06 -2.48789873e-06 -2.48786675e-06  2.51556953e-06
   2.51562481e-06 -2.48783328e-06 -2.48790610e-06  2.51557035e-06
  -2.48792913e-06  2.51554235e-06 -2.48802401e-06 -2.48797383e-06
  -2.48821963e-06  2.51580886e-06  2.51568668e-06 -2.48789966e-06
  -2.48811017e-06 -2.48788182e-06 -2.48787151e-06  2.51568533e-06
  -2.48795690e-06 -2.48787452e-06 -2.48792941e-06 -2.48786659e-06
   2.51566306e-06 -2.48786208e-06 -2.48790856e-06 -2.48800377e-06
  -2.48784772e-06  2.51557305e-06  2.51551036e-06 -2.48789570e-06
  -2.48788161e-06 -2.48791739e-06 -2.48804626e-06 -2.48789502e-06
  -2.48800961e-06 -2.48791121e-06 -2.48794099e-06  2.51567751e-06
  -2.48788097e-06 -2.48789010e-06 -2.48788238e-06 -2.48799916e-06]]
b1: [[-3.48705788e-04]
 [ 2.34777201e-04]
 [ 2.33915890e-04]
 [ 4.53746789e-04]
 [ 1.32797012e-05]]
learning_rate * b1: [[ 3.52228162e-06]
 [-2.37148157e-06]
 [-2.36277261e-06]
 [-4.58328013e-06]
 [-1.34137413e-07]]
Final parameters: {'W1': array([[ 0.01705577,  0.00347479],
       [ 0.00152423, -0.01803555],
       [-0.00221669, -0.00295035],
       [ 0.00025342, -0.00511149],
       [-0.00040655, -0.00473827]]), 'b1': array([[-3.52228070e-04],
       [ 2.37148683e-04],
       [ 2.36278662e-04],
       [ 4.58330069e-04],
       [ 1.34138386e-05]]), 'W2': array([[-0.01313865,  0.00884622,  0.00881318,  0.01709573,  0.00050034]]), 'b2': array([[0.]])}
Final cost: [array([[0.69198741]]), array([[0.69198735]]), array([[0.6919873]]), array([[0.69198724]]), array([[0.69198718]]), array([[0.69198712]]), array([[0.69198707]]), array([[0.69198701]]), array([[0.69198695]]), array([[0.69198689]]), array([[0.69198683]]), array([[0.69198678]]), array([[0.69198672]]), array([[0.69198666]]), array([[0.6919866]]), array([[0.69198655]]), array([[0.69198649]]), array([[0.69198643]]), array([[0.69198637]]), array([[0.69198631]]), array([[0.69198626]]), array([[0.6919862]]), array([[0.69198614]]), array([[0.69198608]]), array([[0.69198603]]), array([[0.69198597]]), array([[0.69198591]]), array([[0.69198585]]), array([[0.69198579]]), array([[0.69198574]]), array([[0.69198568]]), array([[0.69198562]]), array([[0.69198556]]), array([[0.6919855]]), array([[0.69198545]]), array([[0.69198539]]), array([[0.69198533]]), array([[0.69198527]]), array([[0.69198522]]), array([[0.69198516]]), array([[0.6919851]]), array([[0.69198504]]), array([[0.69198498]]), array([[0.69198493]]), array([[0.69198487]]), array([[0.69198481]]), array([[0.69198475]]), array([[0.6919847]]), array([[0.69198464]]), array([[0.69198458]]), array([[0.69198452]]), array([[0.69198446]]), array([[0.69198441]]), array([[0.69198435]]), array([[0.69198429]]), array([[0.69198423]]), array([[0.69198418]]), array([[0.69198412]]), array([[0.69198406]]), array([[0.691984]]), array([[0.69198394]]), array([[0.69198389]]), array([[0.69198383]]), array([[0.69198377]]), array([[0.69198371]]), array([[0.69198366]]), array([[0.6919836]]), array([[0.69198354]]), array([[0.69198348]]), array([[0.69198342]]), array([[0.69198337]]), array([[0.69198331]]), array([[0.69198325]]), array([[0.69198319]]), array([[0.69198313]]), array([[0.69198308]]), array([[0.69198302]]), array([[0.69198296]]), array([[0.6919829]]), array([[0.69198285]]), array([[0.69198279]]), array([[0.69198273]]), array([[0.69198267]]), array([[0.69198261]]), array([[0.69198256]]), array([[0.6919825]]), array([[0.69198244]]), array([[0.69198238]]), array([[0.69198233]]), array([[0.69198227]]), array([[0.69198221]]), array([[0.69198215]]), array([[0.69198209]]), array([[0.69198204]]), array([[0.69198198]]), array([[0.69198192]]), array([[0.69198186]]), array([[0.69198181]]), array([[0.69198175]]), array([[0.69198169]])]